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Finding the Fourth Proportional to 10,199.66, 15,266.68 and 5,262.57

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Solution

The fourth proportional to 10,199.66, 15,266.68 and 5,262.57 is: 7,876.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,199.66 : 15,266.68 = 5,262.57 : x
  2. Step 2: Convert to fraction form
    10,199.66/15,266.68 = 5,262.57/x
  3. Step 3: Cross multiply
    10,199.66x = 15,266.68 × 5,262.57
  4. Step 4: Simplify right side
    10,199.66x = 80,341,959.01
  5. Step 5: Solve for x
    x = 80,341,959.01/10,199.66
  6. Step 6: Final answer
    x = 7,876.93

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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.