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Finding the Fourth Proportional to 8,056.26, 12,084.57 and 6,416.10

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Solution

The fourth proportional to 8,056.26, 12,084.57 and 6,416.10 is: 9,624.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,056.26 : 12,084.57 = 6,416.10 : x
  2. Step 2: Convert to fraction form
    8,056.26/12,084.57 = 6,416.10/x
  3. Step 3: Cross multiply
    8,056.26x = 12,084.57 × 6,416.10
  4. Step 4: Simplify right side
    8,056.26x = 77,535,809.58
  5. Step 5: Solve for x
    x = 77,535,809.58/8,056.26
  6. Step 6: Final answer
    x = 9,624.29

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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.