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Finding the Fourth Proportional to 10,763.40, 14,854.02 and 6,049.16

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Solution

The fourth proportional to 10,763.40, 14,854.02 and 6,049.16 is: 8,348.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,763.40 : 14,854.02 = 6,049.16 : x
  2. Step 2: Convert to fraction form
    10,763.40/14,854.02 = 6,049.16/x
  3. Step 3: Cross multiply
    10,763.40x = 14,854.02 × 6,049.16
  4. Step 4: Simplify right side
    10,763.40x = 89,854,343.62
  5. Step 5: Solve for x
    x = 89,854,343.62/10,763.40
  6. Step 6: Final answer
    x = 8,348.14

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Why These Related Problems?

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