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Finding the Fourth Proportional to 7,348.21, 11,008.42 and 5,696.66

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Solution

The fourth proportional to 7,348.21, 11,008.42 and 5,696.66 is: 8,534.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,348.21 : 11,008.42 = 5,696.66 : x
  2. Step 2: Convert to fraction form
    7,348.21/11,008.42 = 5,696.66/x
  3. Step 3: Cross multiply
    7,348.21x = 11,008.42 × 5,696.66
  4. Step 4: Simplify right side
    7,348.21x = 62,711,239.16
  5. Step 5: Solve for x
    x = 62,711,239.16/7,348.21
  6. Step 6: Final answer
    x = 8,534.22

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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.