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Finding the Fourth Proportional to 10,186.40, 15,279.60 and 7,205.60

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Solution

The fourth proportional to 10,186.40, 15,279.60 and 7,205.60 is: 10,808.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,186.40 : 15,279.60 = 7,205.60 : x
  2. Step 2: Convert to fraction form
    10,186.40/15,279.60 = 7,205.60/x
  3. Step 3: Cross multiply
    10,186.40x = 15,279.60 × 7,205.60
  4. Step 4: Simplify right side
    10,186.40x = 110,098,685.76
  5. Step 5: Solve for x
    x = 110,098,685.76/10,186.40
  6. Step 6: Final answer
    x = 10,808.40

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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.