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Finding the Fourth Proportional to 10,635.61, 14,677.80 and 8,864.14

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Solution

The fourth proportional to 10,635.61, 14,677.80 and 8,864.14 is: 12,233.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,635.61 : 14,677.80 = 8,864.14 : x
  2. Step 2: Convert to fraction form
    10,635.61/14,677.80 = 8,864.14/x
  3. Step 3: Cross multiply
    10,635.61x = 14,677.80 × 8,864.14
  4. Step 4: Simplify right side
    10,635.61x = 130,106,074.09
  5. Step 5: Solve for x
    x = 130,106,074.09/10,635.61
  6. Step 6: Final answer
    x = 12,233.06

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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.