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Finding the Fourth Proportional to 8,306.32, 12,454.08 and 5,827.36

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Solution

The fourth proportional to 8,306.32, 12,454.08 and 5,827.36 is: 8,737.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,306.32 : 12,454.08 = 5,827.36 : x
  2. Step 2: Convert to fraction form
    8,306.32/12,454.08 = 5,827.36/x
  3. Step 3: Cross multiply
    8,306.32x = 12,454.08 × 5,827.36
  4. Step 4: Simplify right side
    8,306.32x = 72,574,407.63
  5. Step 5: Solve for x
    x = 72,574,407.63/8,306.32
  6. Step 6: Final answer
    x = 8,737.25

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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.