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Finding the Fourth Proportional to 10,002.56, 14,992.41 and 6,256.04

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Solution

The fourth proportional to 10,002.56, 14,992.41 and 6,256.04 is: 9,376.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,002.56 : 14,992.41 = 6,256.04 : x
  2. Step 2: Convert to fraction form
    10,002.56/14,992.41 = 6,256.04/x
  3. Step 3: Cross multiply
    10,002.56x = 14,992.41 × 6,256.04
  4. Step 4: Simplify right side
    10,002.56x = 93,793,116.66
  5. Step 5: Solve for x
    x = 93,793,116.66/10,002.56
  6. Step 6: Final answer
    x = 9,376.91

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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.