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Finding the Fourth Proportional to 10,002.88, 15,010.95 and 4,159.48

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Solution

The fourth proportional to 10,002.88, 15,010.95 and 4,159.48 is: 6,241.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,002.88 : 15,010.95 = 4,159.48 : x
  2. Step 2: Convert to fraction form
    10,002.88/15,010.95 = 4,159.48/x
  3. Step 3: Cross multiply
    10,002.88x = 15,010.95 × 4,159.48
  4. Step 4: Simplify right side
    10,002.88x = 62,437,746.31
  5. Step 5: Solve for x
    x = 62,437,746.31/10,002.88
  6. Step 6: Final answer
    x = 6,241.98

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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.