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Finding the Fourth Proportional to 10,458.58, 15,677.33 and 4,614.16

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Solution

The fourth proportional to 10,458.58, 15,677.33 and 4,614.16 is: 6,916.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,458.58 : 15,677.33 = 4,614.16 : x
  2. Step 2: Convert to fraction form
    10,458.58/15,677.33 = 4,614.16/x
  3. Step 3: Cross multiply
    10,458.58x = 15,677.33 × 4,614.16
  4. Step 4: Simplify right side
    10,458.58x = 72,337,642.14
  5. Step 5: Solve for x
    x = 72,337,642.14/10,458.58
  6. Step 6: Final answer
    x = 6,916.59

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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.