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Finding the Fourth Proportional to 11,285.74, 15,572.39 and 7,038.13

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Solution

The fourth proportional to 11,285.74, 15,572.39 and 7,038.13 is: 9,711.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,285.74 : 15,572.39 = 7,038.13 : x
  2. Step 2: Convert to fraction form
    11,285.74/15,572.39 = 7,038.13/x
  3. Step 3: Cross multiply
    11,285.74x = 15,572.39 × 7,038.13
  4. Step 4: Simplify right side
    11,285.74x = 109,600,460.31
  5. Step 5: Solve for x
    x = 109,600,460.31/11,285.74
  6. Step 6: Final answer
    x = 9,711.41

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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.