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Finding the Fourth Proportional to 10,122.76, 15,185.98 and 4,578.72

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Solution

The fourth proportional to 10,122.76, 15,185.98 and 4,578.72 is: 6,868.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,122.76 : 15,185.98 = 4,578.72 : x
  2. Step 2: Convert to fraction form
    10,122.76/15,185.98 = 4,578.72/x
  3. Step 3: Cross multiply
    10,122.76x = 15,185.98 × 4,578.72
  4. Step 4: Simplify right side
    10,122.76x = 69,532,350.35
  5. Step 5: Solve for x
    x = 69,532,350.35/10,122.76
  6. Step 6: Final answer
    x = 6,868.91

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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.