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Finding the Fourth Proportional to 10,125.80, 15,188.70 and 9,785.60

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Solution

The fourth proportional to 10,125.80, 15,188.70 and 9,785.60 is: 14,678.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,125.80 : 15,188.70 = 9,785.60 : x
  2. Step 2: Convert to fraction form
    10,125.80/15,188.70 = 9,785.60/x
  3. Step 3: Cross multiply
    10,125.80x = 15,188.70 × 9,785.60
  4. Step 4: Simplify right side
    10,125.80x = 148,630,542.72
  5. Step 5: Solve for x
    x = 148,630,542.72/10,125.80
  6. Step 6: Final answer
    x = 14,678.40

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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.