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Finding the Fourth Proportional to 10,129.49, 15,195.86 and 4,582.61

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Solution

The fourth proportional to 10,129.49, 15,195.86 and 4,582.61 is: 6,874.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,129.49 : 15,195.86 = 4,582.61 : x
  2. Step 2: Convert to fraction form
    10,129.49/15,195.86 = 4,582.61/x
  3. Step 3: Cross multiply
    10,129.49x = 15,195.86 × 4,582.61
  4. Step 4: Simplify right side
    10,129.49x = 69,636,699.99
  5. Step 5: Solve for x
    x = 69,636,699.99/10,129.49
  6. Step 6: Final answer
    x = 6,874.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.