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Finding the Fourth Proportional to 8,494.61, 12,746.48 and 4,991.45

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Solution

The fourth proportional to 8,494.61, 12,746.48 and 4,991.45 is: 7,489.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,494.61 : 12,746.48 = 4,991.45 : x
  2. Step 2: Convert to fraction form
    8,494.61/12,746.48 = 4,991.45/x
  3. Step 3: Cross multiply
    8,494.61x = 12,746.48 × 4,991.45
  4. Step 4: Simplify right side
    8,494.61x = 63,623,328.91
  5. Step 5: Solve for x
    x = 63,623,328.91/8,494.61
  6. Step 6: Final answer
    x = 7,489.85

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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.