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Finding the Fourth Proportional to 8,280.32, 12,412.96 and 5,360

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Solution

The fourth proportional to 8,280.32, 12,412.96 and 5,360 is: 8,035.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,280.32 : 12,412.96 = 5,360 : x
  2. Step 2: Convert to fraction form
    8,280.32/12,412.96 = 5,360/x
  3. Step 3: Cross multiply
    8,280.32x = 12,412.96 × 5,360
  4. Step 4: Simplify right side
    8,280.32x = 66,533,465.60
  5. Step 5: Solve for x
    x = 66,533,465.60/8,280.32
  6. Step 6: Final answer
    x = 8,035.13

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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.