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Finding the Fourth Proportional to 7,102.95, 10,640.77 and 3,973.46

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Solution

The fourth proportional to 7,102.95, 10,640.77 and 3,973.46 is: 5,952.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,102.95 : 10,640.77 = 3,973.46 : x
  2. Step 2: Convert to fraction form
    7,102.95/10,640.77 = 3,973.46/x
  3. Step 3: Cross multiply
    7,102.95x = 10,640.77 × 3,973.46
  4. Step 4: Simplify right side
    7,102.95x = 42,280,703.31
  5. Step 5: Solve for x
    x = 42,280,703.31/7,102.95
  6. Step 6: Final answer
    x = 5,952.56

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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.