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Finding the Fourth Proportional to 10,404.61, 14,354.85 and 5,925.19

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Solution

The fourth proportional to 10,404.61, 14,354.85 and 5,925.19 is: 8,174.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,404.61 : 14,354.85 = 5,925.19 : x
  2. Step 2: Convert to fraction form
    10,404.61/14,354.85 = 5,925.19/x
  3. Step 3: Cross multiply
    10,404.61x = 14,354.85 × 5,925.19
  4. Step 4: Simplify right side
    10,404.61x = 85,055,112.27
  5. Step 5: Solve for x
    x = 85,055,112.27/10,404.61
  6. Step 6: Final answer
    x = 8,174.75

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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.