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Finding the Fourth Proportional to 7,538.61, 10,402.14 and 4,350.65

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Solution

The fourth proportional to 7,538.61, 10,402.14 and 4,350.65 is: 6,003.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,538.61 : 10,402.14 = 4,350.65 : x
  2. Step 2: Convert to fraction form
    7,538.61/10,402.14 = 4,350.65/x
  3. Step 3: Cross multiply
    7,538.61x = 10,402.14 × 4,350.65
  4. Step 4: Simplify right side
    7,538.61x = 45,256,096.40
  5. Step 5: Solve for x
    x = 45,256,096.40/7,538.61
  6. Step 6: Final answer
    x = 6,003.24

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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.