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Finding the Fourth Proportional to 10,434.48, 15,654.28 and 3,039

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Solution

The fourth proportional to 10,434.48, 15,654.28 and 3,039 is: 4,559.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,434.48 : 15,654.28 = 3,039 : x
  2. Step 2: Convert to fraction form
    10,434.48/15,654.28 = 3,039/x
  3. Step 3: Cross multiply
    10,434.48x = 15,654.28 × 3,039
  4. Step 4: Simplify right side
    10,434.48x = 47,573,356.92
  5. Step 5: Solve for x
    x = 47,573,356.92/10,434.48
  6. Step 6: Final answer
    x = 4,559.25

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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.