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Finding the Fourth Proportional to 10,566.52, 14,578.49 and 6,089.66

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Solution

The fourth proportional to 10,566.52, 14,578.49 and 6,089.66 is: 8,401.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,566.52 : 14,578.49 = 6,089.66 : x
  2. Step 2: Convert to fraction form
    10,566.52/14,578.49 = 6,089.66/x
  3. Step 3: Cross multiply
    10,566.52x = 14,578.49 × 6,089.66
  4. Step 4: Simplify right side
    10,566.52x = 88,778,044.41
  5. Step 5: Solve for x
    x = 88,778,044.41/10,566.52
  6. Step 6: Final answer
    x = 8,401.82

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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.