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Finding the Fourth Proportional to 10,444.59, 15,649.29 and 5,172.57

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Solution

The fourth proportional to 10,444.59, 15,649.29 and 5,172.57 is: 7,750.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,444.59 : 15,649.29 = 5,172.57 : x
  2. Step 2: Convert to fraction form
    10,444.59/15,649.29 = 5,172.57/x
  3. Step 3: Cross multiply
    10,444.59x = 15,649.29 × 5,172.57
  4. Step 4: Simplify right side
    10,444.59x = 80,947,047.98
  5. Step 5: Solve for x
    x = 80,947,047.98/10,444.59
  6. Step 6: Final answer
    x = 7,750.14

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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.