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Finding the Fourth Proportional to 7,685.84, 10,599.36 and 5,701.34

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Solution

The fourth proportional to 7,685.84, 10,599.36 and 5,701.34 is: 7,862.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,685.84 : 10,599.36 = 5,701.34 : x
  2. Step 2: Convert to fraction form
    7,685.84/10,599.36 = 5,701.34/x
  3. Step 3: Cross multiply
    7,685.84x = 10,599.36 × 5,701.34
  4. Step 4: Simplify right side
    7,685.84x = 60,430,555.14
  5. Step 5: Solve for x
    x = 60,430,555.14/7,685.84
  6. Step 6: Final answer
    x = 7,862.58

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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.