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Finding the Fourth Proportional to 7,865.34, 10,842.53 and 5,032.41

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Solution

The fourth proportional to 7,865.34, 10,842.53 and 5,032.41 is: 6,937.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,865.34 : 10,842.53 = 5,032.41 : x
  2. Step 2: Convert to fraction form
    7,865.34/10,842.53 = 5,032.41/x
  3. Step 3: Cross multiply
    7,865.34x = 10,842.53 × 5,032.41
  4. Step 4: Simplify right side
    7,865.34x = 54,564,056.40
  5. Step 5: Solve for x
    x = 54,564,056.40/7,865.34
  6. Step 6: Final answer
    x = 6,937.28

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