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Finding the Fourth Proportional to 11,305.60, 15,585.34 and 7,938.16

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Solution

The fourth proportional to 11,305.60, 15,585.34 and 7,938.16 is: 10,943.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,305.60 : 15,585.34 = 7,938.16 : x
  2. Step 2: Convert to fraction form
    11,305.60/15,585.34 = 7,938.16/x
  3. Step 3: Cross multiply
    11,305.60x = 15,585.34 × 7,938.16
  4. Step 4: Simplify right side
    11,305.60x = 123,718,922.57
  5. Step 5: Solve for x
    x = 123,718,922.57/11,305.60
  6. Step 6: Final answer
    x = 10,943.15

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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.