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Finding the Fourth Proportional to 8,158.16, 12,239.40 and 3,478.32

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Solution

The fourth proportional to 8,158.16, 12,239.40 and 3,478.32 is: 5,218.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,158.16 : 12,239.40 = 3,478.32 : x
  2. Step 2: Convert to fraction form
    8,158.16/12,239.40 = 3,478.32/x
  3. Step 3: Cross multiply
    8,158.16x = 12,239.40 × 3,478.32
  4. Step 4: Simplify right side
    8,158.16x = 42,572,549.81
  5. Step 5: Solve for x
    x = 42,572,549.81/8,158.16
  6. Step 6: Final answer
    x = 5,218.40

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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.