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Finding the Fourth Proportional to 10,593.60, 14,620.32 and 6,404.16

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Solution

The fourth proportional to 10,593.60, 14,620.32 and 6,404.16 is: 8,838.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,593.60 : 14,620.32 = 6,404.16 : x
  2. Step 2: Convert to fraction form
    10,593.60/14,620.32 = 6,404.16/x
  3. Step 3: Cross multiply
    10,593.60x = 14,620.32 × 6,404.16
  4. Step 4: Simplify right side
    10,593.60x = 93,630,868.53
  5. Step 5: Solve for x
    x = 93,630,868.53/10,593.60
  6. Step 6: Final answer
    x = 8,838.44

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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.