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Finding the Fourth Proportional to 10,665.81, 14,712.17 and 7,676.91

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Solution

The fourth proportional to 10,665.81, 14,712.17 and 7,676.91 is: 10,589.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,665.81 : 14,712.17 = 7,676.91 : x
  2. Step 2: Convert to fraction form
    10,665.81/14,712.17 = 7,676.91/x
  3. Step 3: Cross multiply
    10,665.81x = 14,712.17 × 7,676.91
  4. Step 4: Simplify right side
    10,665.81x = 112,943,966.61
  5. Step 5: Solve for x
    x = 112,943,966.61/10,665.81
  6. Step 6: Final answer
    x = 10,589.35

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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.