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Finding the Fourth Proportional to 10,654.59, 14,700.07 and 6,177.44

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Solution

The fourth proportional to 10,654.59, 14,700.07 and 6,177.44 is: 8,522.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,654.59 : 14,700.07 = 6,177.44 : x
  2. Step 2: Convert to fraction form
    10,654.59/14,700.07 = 6,177.44/x
  3. Step 3: Cross multiply
    10,654.59x = 14,700.07 × 6,177.44
  4. Step 4: Simplify right side
    10,654.59x = 90,808,844.89
  5. Step 5: Solve for x
    x = 90,808,844.89/10,654.59
  6. Step 6: Final answer
    x = 8,522.98

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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.