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Finding the Fourth Proportional to 10,264.60, 15,401.76 and 5,885.76

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Solution

The fourth proportional to 10,264.60, 15,401.76 and 5,885.76 is: 8,831.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,264.60 : 15,401.76 = 5,885.76 : x
  2. Step 2: Convert to fraction form
    10,264.60/15,401.76 = 5,885.76/x
  3. Step 3: Cross multiply
    10,264.60x = 15,401.76 × 5,885.76
  4. Step 4: Simplify right side
    10,264.60x = 90,651,062.94
  5. Step 5: Solve for x
    x = 90,651,062.94/10,264.60
  6. Step 6: Final answer
    x = 8,831.43

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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.