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Finding the Fourth Proportional to 11,472.90, 15,831.30 and 6,436.07

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Solution

The fourth proportional to 11,472.90, 15,831.30 and 6,436.07 is: 8,881.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,472.90 : 15,831.30 = 6,436.07 : x
  2. Step 2: Convert to fraction form
    11,472.90/15,831.30 = 6,436.07/x
  3. Step 3: Cross multiply
    11,472.90x = 15,831.30 × 6,436.07
  4. Step 4: Simplify right side
    11,472.90x = 101,891,354.99
  5. Step 5: Solve for x
    x = 101,891,354.99/11,472.90
  6. Step 6: Final answer
    x = 8,881.05

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.