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Finding the Fourth Proportional to 8,946.58, 13,408.86 and 5,042.74

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Solution

The fourth proportional to 8,946.58, 13,408.86 and 5,042.74 is: 7,557.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,946.58 : 13,408.86 = 5,042.74 : x
  2. Step 2: Convert to fraction form
    8,946.58/13,408.86 = 5,042.74/x
  3. Step 3: Cross multiply
    8,946.58x = 13,408.86 × 5,042.74
  4. Step 4: Simplify right side
    8,946.58x = 67,617,394.68
  5. Step 5: Solve for x
    x = 67,617,394.68/8,946.58
  6. Step 6: Final answer
    x = 7,557.90

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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.