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Finding the Fourth Proportional to 10,711.52, 14,810.12 and 9,381.42

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Solution

The fourth proportional to 10,711.52, 14,810.12 and 9,381.42 is: 12,971.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,711.52 : 14,810.12 = 9,381.42 : x
  2. Step 2: Convert to fraction form
    10,711.52/14,810.12 = 9,381.42/x
  3. Step 3: Cross multiply
    10,711.52x = 14,810.12 × 9,381.42
  4. Step 4: Simplify right side
    10,711.52x = 138,939,997.01
  5. Step 5: Solve for x
    x = 138,939,997.01/10,711.52
  6. Step 6: Final answer
    x = 12,971.08

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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.