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Finding the Fourth Proportional to 10,006.02, 13,805.91 and 6,468.55

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Solution

The fourth proportional to 10,006.02, 13,805.91 and 6,468.55 is: 8,925.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,006.02 : 13,805.91 = 6,468.55 : x
  2. Step 2: Convert to fraction form
    10,006.02/13,805.91 = 6,468.55/x
  3. Step 3: Cross multiply
    10,006.02x = 13,805.91 × 6,468.55
  4. Step 4: Simplify right side
    10,006.02x = 89,304,184.62
  5. Step 5: Solve for x
    x = 89,304,184.62/10,006.02
  6. Step 6: Final answer
    x = 8,925.05

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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.