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Finding the Fourth Proportional to 8,333.46, 12,497.45 and 2,785.16

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Solution

The fourth proportional to 8,333.46, 12,497.45 and 2,785.16 is: 4,176.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,333.46 : 12,497.45 = 2,785.16 : x
  2. Step 2: Convert to fraction form
    8,333.46/12,497.45 = 2,785.16/x
  3. Step 3: Cross multiply
    8,333.46x = 12,497.45 × 2,785.16
  4. Step 4: Simplify right side
    8,333.46x = 34,807,397.84
  5. Step 5: Solve for x
    x = 34,807,397.84/8,333.46
  6. Step 6: Final answer
    x = 4,176.82

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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.