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Finding the Fourth Proportional to 10,064.93, 15,029.62 and 8,219.70

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Solution

The fourth proportional to 10,064.93, 15,029.62 and 8,219.70 is: 12,274.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,064.93 : 15,029.62 = 8,219.70 : x
  2. Step 2: Convert to fraction form
    10,064.93/15,029.62 = 8,219.70/x
  3. Step 3: Cross multiply
    10,064.93x = 15,029.62 × 8,219.70
  4. Step 4: Simplify right side
    10,064.93x = 123,538,963.99
  5. Step 5: Solve for x
    x = 123,538,963.99/10,064.93
  6. Step 6: Final answer
    x = 12,274.20

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.