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Finding the Fourth Proportional to 10,649.59, 15,974.30 and 3,254.02

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Solution

The fourth proportional to 10,649.59, 15,974.30 and 3,254.02 is: 4,881.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,649.59 : 15,974.30 = 3,254.02 : x
  2. Step 2: Convert to fraction form
    10,649.59/15,974.30 = 3,254.02/x
  3. Step 3: Cross multiply
    10,649.59x = 15,974.30 × 3,254.02
  4. Step 4: Simplify right side
    10,649.59x = 51,980,659.89
  5. Step 5: Solve for x
    x = 51,980,659.89/10,649.59
  6. Step 6: Final answer
    x = 4,881.00

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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.