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Finding the Fourth Proportional to 11,329.47, 15,606.27 and 10,826.46

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Solution

The fourth proportional to 11,329.47, 15,606.27 and 10,826.46 is: 14,913.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,329.47 : 15,606.27 = 10,826.46 : x
  2. Step 2: Convert to fraction form
    11,329.47/15,606.27 = 10,826.46/x
  3. Step 3: Cross multiply
    11,329.47x = 15,606.27 × 10,826.46
  4. Step 4: Simplify right side
    11,329.47x = 168,960,657.90
  5. Step 5: Solve for x
    x = 168,960,657.90/11,329.47
  6. Step 6: Final answer
    x = 14,913.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.