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Finding the Fourth Proportional to 8,746.60, 13,097.82 and 5,234.44

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Solution

The fourth proportional to 8,746.60, 13,097.82 and 5,234.44 is: 7,838.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,746.60 : 13,097.82 = 5,234.44 : x
  2. Step 2: Convert to fraction form
    8,746.60/13,097.82 = 5,234.44/x
  3. Step 3: Cross multiply
    8,746.60x = 13,097.82 × 5,234.44
  4. Step 4: Simplify right side
    8,746.60x = 68,559,752.92
  5. Step 5: Solve for x
    x = 68,559,752.92/8,746.60
  6. Step 6: Final answer
    x = 7,838.45

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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.