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Finding the Fourth Proportional to 10,402.24, 14,354 and 5,925.05

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Solution

The fourth proportional to 10,402.24, 14,354 and 5,925.05 is: 8,175.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,402.24 : 14,354 = 5,925.05 : x
  2. Step 2: Convert to fraction form
    10,402.24/14,354 = 5,925.05/x
  3. Step 3: Cross multiply
    10,402.24x = 14,354 × 5,925.05
  4. Step 4: Simplify right side
    10,402.24x = 85,048,167.70
  5. Step 5: Solve for x
    x = 85,048,167.70/10,402.24
  6. Step 6: Final answer
    x = 8,175.95

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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.