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Finding the Fourth Proportional to 11,280.73, 15,567.39 and 6,565

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Solution

The fourth proportional to 11,280.73, 15,567.39 and 6,565 is: 9,059.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,280.73 : 15,567.39 = 6,565 : x
  2. Step 2: Convert to fraction form
    11,280.73/15,567.39 = 6,565/x
  3. Step 3: Cross multiply
    11,280.73x = 15,567.39 × 6,565
  4. Step 4: Simplify right side
    11,280.73x = 102,199,915.35
  5. Step 5: Solve for x
    x = 102,199,915.35/11,280.73
  6. Step 6: Final answer
    x = 9,059.69

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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.