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Finding the Fourth Proportional to 8,499.70, 11,730.06 and 5,314.98

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Solution

The fourth proportional to 8,499.70, 11,730.06 and 5,314.98 is: 7,334.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,499.70 : 11,730.06 = 5,314.98 : x
  2. Step 2: Convert to fraction form
    8,499.70/11,730.06 = 5,314.98/x
  3. Step 3: Cross multiply
    8,499.70x = 11,730.06 × 5,314.98
  4. Step 4: Simplify right side
    8,499.70x = 62,345,034.30
  5. Step 5: Solve for x
    x = 62,345,034.30/8,499.70
  6. Step 6: Final answer
    x = 7,334.97

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.