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Finding the Fourth Proportional to 7,913.28, 10,907.76 and 6,232.02

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Solution

The fourth proportional to 7,913.28, 10,907.76 and 6,232.02 is: 8,590.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,913.28 : 10,907.76 = 6,232.02 : x
  2. Step 2: Convert to fraction form
    7,913.28/10,907.76 = 6,232.02/x
  3. Step 3: Cross multiply
    7,913.28x = 10,907.76 × 6,232.02
  4. Step 4: Simplify right side
    7,913.28x = 67,977,378.48
  5. Step 5: Solve for x
    x = 67,977,378.48/7,913.28
  6. Step 6: Final answer
    x = 8,590.29

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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.