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Finding the Fourth Proportional to 6,711.20, 10,077.60 and 4,875.20

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Solution

The fourth proportional to 6,711.20, 10,077.60 and 4,875.20 is: 7,320.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,711.20 : 10,077.60 = 4,875.20 : x
  2. Step 2: Convert to fraction form
    6,711.20/10,077.60 = 4,875.20/x
  3. Step 3: Cross multiply
    6,711.20x = 10,077.60 × 4,875.20
  4. Step 4: Simplify right side
    6,711.20x = 49,130,315.52
  5. Step 5: Solve for x
    x = 49,130,315.52/6,711.20
  6. Step 6: Final answer
    x = 7,320.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.