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Finding the Fourth Proportional to 7,352.92, 10,147.71 and 4,208.50

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Solution

The fourth proportional to 7,352.92, 10,147.71 and 4,208.50 is: 5,808.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,352.92 : 10,147.71 = 4,208.50 : x
  2. Step 2: Convert to fraction form
    7,352.92/10,147.71 = 4,208.50/x
  3. Step 3: Cross multiply
    7,352.92x = 10,147.71 × 4,208.50
  4. Step 4: Simplify right side
    7,352.92x = 42,706,637.54
  5. Step 5: Solve for x
    x = 42,706,637.54/7,352.92
  6. Step 6: Final answer
    x = 5,808.12

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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.