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Finding the Fourth Proportional to 11,280, 15,566.40 and 6,567.42

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Solution

The fourth proportional to 11,280, 15,566.40 and 6,567.42 is: 9,063.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,280 : 15,566.40 = 6,567.42 : x
  2. Step 2: Convert to fraction form
    11,280/15,566.40 = 6,567.42/x
  3. Step 3: Cross multiply
    11,280x = 15,566.40 × 6,567.42
  4. Step 4: Simplify right side
    11,280x = 102,231,086.69
  5. Step 5: Solve for x
    x = 102,231,086.69/11,280
  6. Step 6: Final answer
    x = 9,063.04

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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.