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Finding the Fourth Proportional to 10,546.35, 14,552.95 and 5,829.87

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Solution

The fourth proportional to 10,546.35, 14,552.95 and 5,829.87 is: 8,044.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,546.35 : 14,552.95 = 5,829.87 : x
  2. Step 2: Convert to fraction form
    10,546.35/14,552.95 = 5,829.87/x
  3. Step 3: Cross multiply
    10,546.35x = 14,552.95 × 5,829.87
  4. Step 4: Simplify right side
    10,546.35x = 84,841,806.62
  5. Step 5: Solve for x
    x = 84,841,806.62/10,546.35
  6. Step 6: Final answer
    x = 8,044.66

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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.