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Finding the Fourth Proportional to 7,688.68, 10,599.72 and 5,166.40

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Solution

The fourth proportional to 7,688.68, 10,599.72 and 5,166.40 is: 7,122.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,688.68 : 10,599.72 = 5,166.40 : x
  2. Step 2: Convert to fraction form
    7,688.68/10,599.72 = 5,166.40/x
  3. Step 3: Cross multiply
    7,688.68x = 10,599.72 × 5,166.40
  4. Step 4: Simplify right side
    7,688.68x = 54,762,393.41
  5. Step 5: Solve for x
    x = 54,762,393.41/7,688.68
  6. Step 6: Final answer
    x = 7,122.47

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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.