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Finding the Fourth Proportional to 10,279.68, 15,412.05 and 6,109.80

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Solution

The fourth proportional to 10,279.68, 15,412.05 and 6,109.80 is: 9,160.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,279.68 : 15,412.05 = 6,109.80 : x
  2. Step 2: Convert to fraction form
    10,279.68/15,412.05 = 6,109.80/x
  3. Step 3: Cross multiply
    10,279.68x = 15,412.05 × 6,109.80
  4. Step 4: Simplify right side
    10,279.68x = 94,164,543.09
  5. Step 5: Solve for x
    x = 94,164,543.09/10,279.68
  6. Step 6: Final answer
    x = 9,160.26

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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.