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Finding the Fourth Proportional to 10,004.88, 15,020.28 and 6,314.52

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Solution

The fourth proportional to 10,004.88, 15,020.28 and 6,314.52 is: 9,479.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,004.88 : 15,020.28 = 6,314.52 : x
  2. Step 2: Convert to fraction form
    10,004.88/15,020.28 = 6,314.52/x
  3. Step 3: Cross multiply
    10,004.88x = 15,020.28 × 6,314.52
  4. Step 4: Simplify right side
    10,004.88x = 94,845,858.47
  5. Step 5: Solve for x
    x = 94,845,858.47/10,004.88
  6. Step 6: Final answer
    x = 9,479.96

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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.