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Finding the Fourth Proportional to 11,280.64, 15,566.72 and 6,311.68

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Solution

The fourth proportional to 11,280.64, 15,566.72 and 6,311.68 is: 8,709.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,280.64 : 15,566.72 = 6,311.68 : x
  2. Step 2: Convert to fraction form
    11,280.64/15,566.72 = 6,311.68/x
  3. Step 3: Cross multiply
    11,280.64x = 15,566.72 × 6,311.68
  4. Step 4: Simplify right side
    11,280.64x = 98,252,155.29
  5. Step 5: Solve for x
    x = 98,252,155.29/11,280.64
  6. Step 6: Final answer
    x = 8,709.80

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.