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Finding the Fourth Proportional to 8,189.32, 12,280.58 and 5,064.74

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Solution

The fourth proportional to 8,189.32, 12,280.58 and 5,064.74 is: 7,595.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,189.32 : 12,280.58 = 5,064.74 : x
  2. Step 2: Convert to fraction form
    8,189.32/12,280.58 = 5,064.74/x
  3. Step 3: Cross multiply
    8,189.32x = 12,280.58 × 5,064.74
  4. Step 4: Simplify right side
    8,189.32x = 62,197,944.75
  5. Step 5: Solve for x
    x = 62,197,944.75/8,189.32
  6. Step 6: Final answer
    x = 7,595.01

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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.