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Finding the Fourth Proportional to 8,309.22, 11,468.70 and 5,332.14

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Solution

The fourth proportional to 8,309.22, 11,468.70 and 5,332.14 is: 7,359.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,309.22 : 11,468.70 = 5,332.14 : x
  2. Step 2: Convert to fraction form
    8,309.22/11,468.70 = 5,332.14/x
  3. Step 3: Cross multiply
    8,309.22x = 11,468.70 × 5,332.14
  4. Step 4: Simplify right side
    8,309.22x = 61,152,714.02
  5. Step 5: Solve for x
    x = 61,152,714.02/8,309.22
  6. Step 6: Final answer
    x = 7,359.62

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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.