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Finding the Fourth Proportional to 10,404.83, 14,355.16 and 5,925.42

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Solution

The fourth proportional to 10,404.83, 14,355.16 and 5,925.42 is: 8,175.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,404.83 : 14,355.16 = 5,925.42 : x
  2. Step 2: Convert to fraction form
    10,404.83/14,355.16 = 5,925.42/x
  3. Step 3: Cross multiply
    10,404.83x = 14,355.16 × 5,925.42
  4. Step 4: Simplify right side
    10,404.83x = 85,060,337.35
  5. Step 5: Solve for x
    x = 85,060,337.35/10,404.83
  6. Step 6: Final answer
    x = 8,175.08

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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.