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Finding the Fourth Proportional to 6,415.68, 8,850.96 and 4,320.48

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Solution

The fourth proportional to 6,415.68, 8,850.96 and 4,320.48 is: 5,960.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,415.68 : 8,850.96 = 4,320.48 : x
  2. Step 2: Convert to fraction form
    6,415.68/8,850.96 = 4,320.48/x
  3. Step 3: Cross multiply
    6,415.68x = 8,850.96 × 4,320.48
  4. Step 4: Simplify right side
    6,415.68x = 38,240,395.66
  5. Step 5: Solve for x
    x = 38,240,395.66/6,415.68
  6. Step 6: Final answer
    x = 5,960.46

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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.