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Finding the Fourth Proportional to 10,825.61, 16,244.78 and 6,876.69

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Solution

The fourth proportional to 10,825.61, 16,244.78 and 6,876.69 is: 10,319.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,825.61 : 16,244.78 = 6,876.69 : x
  2. Step 2: Convert to fraction form
    10,825.61/16,244.78 = 6,876.69/x
  3. Step 3: Cross multiply
    10,825.61x = 16,244.78 × 6,876.69
  4. Step 4: Simplify right side
    10,825.61x = 111,710,281.79
  5. Step 5: Solve for x
    x = 111,710,281.79/10,825.61
  6. Step 6: Final answer
    x = 10,319.08

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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.