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Finding the Fourth Proportional to 10,357.69, 15,534.91 and 3,432.19

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Solution

The fourth proportional to 10,357.69, 15,534.91 and 3,432.19 is: 5,147.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,357.69 : 15,534.91 = 3,432.19 : x
  2. Step 2: Convert to fraction form
    10,357.69/15,534.91 = 3,432.19/x
  3. Step 3: Cross multiply
    10,357.69x = 15,534.91 × 3,432.19
  4. Step 4: Simplify right side
    10,357.69x = 53,318,762.75
  5. Step 5: Solve for x
    x = 53,318,762.75/10,357.69
  6. Step 6: Final answer
    x = 5,147.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.