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Finding the Fourth Proportional to 10,649.16, 15,976.08 and 3,254.19

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Solution

The fourth proportional to 10,649.16, 15,976.08 and 3,254.19 is: 4,882.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,649.16 : 15,976.08 = 3,254.19 : x
  2. Step 2: Convert to fraction form
    10,649.16/15,976.08 = 3,254.19/x
  3. Step 3: Cross multiply
    10,649.16x = 15,976.08 × 3,254.19
  4. Step 4: Simplify right side
    10,649.16x = 51,989,199.78
  5. Step 5: Solve for x
    x = 51,989,199.78/10,649.16
  6. Step 6: Final answer
    x = 4,882.00

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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.