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Finding the Fourth Proportional to 11,349.18, 15,659.46 and 7,155

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Solution

The fourth proportional to 11,349.18, 15,659.46 and 7,155 is: 9,872.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,349.18 : 15,659.46 = 7,155 : x
  2. Step 2: Convert to fraction form
    11,349.18/15,659.46 = 7,155/x
  3. Step 3: Cross multiply
    11,349.18x = 15,659.46 × 7,155
  4. Step 4: Simplify right side
    11,349.18x = 112,043,436.30
  5. Step 5: Solve for x
    x = 112,043,436.30/11,349.18
  6. Step 6: Final answer
    x = 9,872.38

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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.