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Finding the Fourth Proportional to 8,554.10, 12,831.12 and 2,314.76

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Solution

The fourth proportional to 8,554.10, 12,831.12 and 2,314.76 is: 3,472.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,554.10 : 12,831.12 = 2,314.76 : x
  2. Step 2: Convert to fraction form
    8,554.10/12,831.12 = 2,314.76/x
  3. Step 3: Cross multiply
    8,554.10x = 12,831.12 × 2,314.76
  4. Step 4: Simplify right side
    8,554.10x = 29,700,899.18
  5. Step 5: Solve for x
    x = 29,700,899.18/8,554.10
  6. Step 6: Final answer
    x = 3,472.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.