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Finding the Fourth Proportional to 11,431.74, 15,776.10 and 6,715.08

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Solution

The fourth proportional to 11,431.74, 15,776.10 and 6,715.08 is: 9,266.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,431.74 : 15,776.10 = 6,715.08 : x
  2. Step 2: Convert to fraction form
    11,431.74/15,776.10 = 6,715.08/x
  3. Step 3: Cross multiply
    11,431.74x = 15,776.10 × 6,715.08
  4. Step 4: Simplify right side
    11,431.74x = 105,937,773.59
  5. Step 5: Solve for x
    x = 105,937,773.59/11,431.74
  6. Step 6: Final answer
    x = 9,266.99

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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.