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Finding the Fourth Proportional to 11,278.26, 15,565.59 and 6,564.06

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Solution

The fourth proportional to 11,278.26, 15,565.59 and 6,564.06 is: 9,059.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,278.26 : 15,565.59 = 6,564.06 : x
  2. Step 2: Convert to fraction form
    11,278.26/15,565.59 = 6,564.06/x
  3. Step 3: Cross multiply
    11,278.26x = 15,565.59 × 6,564.06
  4. Step 4: Simplify right side
    11,278.26x = 102,173,466.70
  5. Step 5: Solve for x
    x = 102,173,466.70/11,278.26
  6. Step 6: Final answer
    x = 9,059.33

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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.