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Finding the Fourth Proportional to 7,352.83, 10,142.50 and 6,860.76

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Solution

The fourth proportional to 7,352.83, 10,142.50 and 6,860.76 is: 9,463.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,352.83 : 10,142.50 = 6,860.76 : x
  2. Step 2: Convert to fraction form
    7,352.83/10,142.50 = 6,860.76/x
  3. Step 3: Cross multiply
    7,352.83x = 10,142.50 × 6,860.76
  4. Step 4: Simplify right side
    7,352.83x = 69,585,258.30
  5. Step 5: Solve for x
    x = 69,585,258.30/7,352.83
  6. Step 6: Final answer
    x = 9,463.74

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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.