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Finding the Fourth Proportional to 8,499.60, 12,749.40 and 3,302.10

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Solution

The fourth proportional to 8,499.60, 12,749.40 and 3,302.10 is: 4,953.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,499.60 : 12,749.40 = 3,302.10 : x
  2. Step 2: Convert to fraction form
    8,499.60/12,749.40 = 3,302.10/x
  3. Step 3: Cross multiply
    8,499.60x = 12,749.40 × 3,302.10
  4. Step 4: Simplify right side
    8,499.60x = 42,099,793.74
  5. Step 5: Solve for x
    x = 42,099,793.74/8,499.60
  6. Step 6: Final answer
    x = 4,953.15

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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.