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Finding the Fourth Proportional to 10,807.62, 14,909.80 and 6,771.96

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Solution

The fourth proportional to 10,807.62, 14,909.80 and 6,771.96 is: 9,342.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,807.62 : 14,909.80 = 6,771.96 : x
  2. Step 2: Convert to fraction form
    10,807.62/14,909.80 = 6,771.96/x
  3. Step 3: Cross multiply
    10,807.62x = 14,909.80 × 6,771.96
  4. Step 4: Simplify right side
    10,807.62x = 100,968,569.21
  5. Step 5: Solve for x
    x = 100,968,569.21/10,807.62
  6. Step 6: Final answer
    x = 9,342.35

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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.