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Finding the Fourth Proportional to 7,232.41, 10,854.76 and 5,157.50

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Solution

The fourth proportional to 7,232.41, 10,854.76 and 5,157.50 is: 7,740.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,232.41 : 10,854.76 = 5,157.50 : x
  2. Step 2: Convert to fraction form
    7,232.41/10,854.76 = 5,157.50/x
  3. Step 3: Cross multiply
    7,232.41x = 10,854.76 × 5,157.50
  4. Step 4: Simplify right side
    7,232.41x = 55,983,357.53
  5. Step 5: Solve for x
    x = 55,983,357.53/7,232.41
  6. Step 6: Final answer
    x = 7,740.63

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Why These Related Problems?

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