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Finding the Fourth Proportional to 10,279.80, 15,419.70 and 6,391.80

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Solution

The fourth proportional to 10,279.80, 15,419.70 and 6,391.80 is: 9,587.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,279.80 : 15,419.70 = 6,391.80 : x
  2. Step 2: Convert to fraction form
    10,279.80/15,419.70 = 6,391.80/x
  3. Step 3: Cross multiply
    10,279.80x = 15,419.70 × 6,391.80
  4. Step 4: Simplify right side
    10,279.80x = 98,559,638.46
  5. Step 5: Solve for x
    x = 98,559,638.46/10,279.80
  6. Step 6: Final answer
    x = 9,587.70

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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.