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Finding the Fourth Proportional to 10,458.48, 15,671.52 and 6,078

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Solution

The fourth proportional to 10,458.48, 15,671.52 and 6,078 is: 9,107.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,458.48 : 15,671.52 = 6,078 : x
  2. Step 2: Convert to fraction form
    10,458.48/15,671.52 = 6,078/x
  3. Step 3: Cross multiply
    10,458.48x = 15,671.52 × 6,078
  4. Step 4: Simplify right side
    10,458.48x = 95,251,498.56
  5. Step 5: Solve for x
    x = 95,251,498.56/10,458.48
  6. Step 6: Final answer
    x = 9,107.59

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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.