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Finding the Fourth Proportional to 7,347.68, 10,146.71 and 5,115.66

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Solution

The fourth proportional to 7,347.68, 10,146.71 and 5,115.66 is: 7,064.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,347.68 : 10,146.71 = 5,115.66 : x
  2. Step 2: Convert to fraction form
    7,347.68/10,146.71 = 5,115.66/x
  3. Step 3: Cross multiply
    7,347.68x = 10,146.71 × 5,115.66
  4. Step 4: Simplify right side
    7,347.68x = 51,907,093.22
  5. Step 5: Solve for x
    x = 51,907,093.22/7,347.68
  6. Step 6: Final answer
    x = 7,064.42

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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.