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Finding the Fourth Proportional to 10,566.53, 14,566.28 and 8,044.26

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Solution

The fourth proportional to 10,566.53, 14,566.28 and 8,044.26 is: 11,089.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,566.53 : 14,566.28 = 8,044.26 : x
  2. Step 2: Convert to fraction form
    10,566.53/14,566.28 = 8,044.26/x
  3. Step 3: Cross multiply
    10,566.53x = 14,566.28 × 8,044.26
  4. Step 4: Simplify right side
    10,566.53x = 117,174,943.55
  5. Step 5: Solve for x
    x = 117,174,943.55/10,566.53
  6. Step 6: Final answer
    x = 11,089.25

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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.