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Finding the Fourth Proportional to 10,252.90, 15,367.20 and 7,652.80

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Solution

The fourth proportional to 10,252.90, 15,367.20 and 7,652.80 is: 11,470.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,252.90 : 15,367.20 = 7,652.80 : x
  2. Step 2: Convert to fraction form
    10,252.90/15,367.20 = 7,652.80/x
  3. Step 3: Cross multiply
    10,252.90x = 15,367.20 × 7,652.80
  4. Step 4: Simplify right side
    10,252.90x = 117,602,108.16
  5. Step 5: Solve for x
    x = 117,602,108.16/10,252.90
  6. Step 6: Final answer
    x = 11,470.13

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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.