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Finding the Fourth Proportional to 7,686.09, 10,599.71 and 5,701.59

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Solution

The fourth proportional to 7,686.09, 10,599.71 and 5,701.59 is: 7,862.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,686.09 : 10,599.71 = 5,701.59 : x
  2. Step 2: Convert to fraction form
    7,686.09/10,599.71 = 5,701.59/x
  3. Step 3: Cross multiply
    7,686.09x = 10,599.71 × 5,701.59
  4. Step 4: Simplify right side
    7,686.09x = 60,435,172.03
  5. Step 5: Solve for x
    x = 60,435,172.03/7,686.09
  6. Step 6: Final answer
    x = 7,862.93

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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.