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Finding the Fourth Proportional to 7,564.68, 10,431.66 and 5,046.84

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Solution

The fourth proportional to 7,564.68, 10,431.66 and 5,046.84 is: 6,959.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,564.68 : 10,431.66 = 5,046.84 : x
  2. Step 2: Convert to fraction form
    7,564.68/10,431.66 = 5,046.84/x
  3. Step 3: Cross multiply
    7,564.68x = 10,431.66 × 5,046.84
  4. Step 4: Simplify right side
    7,564.68x = 52,646,918.95
  5. Step 5: Solve for x
    x = 52,646,918.95/7,564.68
  6. Step 6: Final answer
    x = 6,959.57

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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.