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Finding the Fourth Proportional to 11,566.84, 15,963.22 and 6,532.04

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Solution

The fourth proportional to 11,566.84, 15,963.22 and 6,532.04 is: 9,014.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,566.84 : 15,963.22 = 6,532.04 : x
  2. Step 2: Convert to fraction form
    11,566.84/15,963.22 = 6,532.04/x
  3. Step 3: Cross multiply
    11,566.84x = 15,963.22 × 6,532.04
  4. Step 4: Simplify right side
    11,566.84x = 104,272,391.57
  5. Step 5: Solve for x
    x = 104,272,391.57/11,566.84
  6. Step 6: Final answer
    x = 9,014.77

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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.