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Finding the Fourth Proportional to 11,281.06, 15,571 and 6,566.25

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Solution

The fourth proportional to 11,281.06, 15,571 and 6,566.25 is: 9,063.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,281.06 : 15,571 = 6,566.25 : x
  2. Step 2: Convert to fraction form
    11,281.06/15,571 = 6,566.25/x
  3. Step 3: Cross multiply
    11,281.06x = 15,571 × 6,566.25
  4. Step 4: Simplify right side
    11,281.06x = 102,243,078.75
  5. Step 5: Solve for x
    x = 102,243,078.75/11,281.06
  6. Step 6: Final answer
    x = 9,063.25

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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.