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Finding the Fourth Proportional to 10,002.72, 14,977.08 and 6,708.72

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Solution

The fourth proportional to 10,002.72, 14,977.08 and 6,708.72 is: 10,044.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,002.72 : 14,977.08 = 6,708.72 : x
  2. Step 2: Convert to fraction form
    10,002.72/14,977.08 = 6,708.72/x
  3. Step 3: Cross multiply
    10,002.72x = 14,977.08 × 6,708.72
  4. Step 4: Simplify right side
    10,002.72x = 100,477,036.14
  5. Step 5: Solve for x
    x = 100,477,036.14/10,002.72
  6. Step 6: Final answer
    x = 10,044.97

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.