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Finding the Fourth Proportional to 10,434.83, 15,652.27 and 3,039.47

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Solution

The fourth proportional to 10,434.83, 15,652.27 and 3,039.47 is: 4,559.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,434.83 : 15,652.27 = 3,039.47 : x
  2. Step 2: Convert to fraction form
    10,434.83/15,652.27 = 3,039.47/x
  3. Step 3: Cross multiply
    10,434.83x = 15,652.27 × 3,039.47
  4. Step 4: Simplify right side
    10,434.83x = 47,574,605.10
  5. Step 5: Solve for x
    x = 47,574,605.10/10,434.83
  6. Step 6: Final answer
    x = 4,559.21

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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.