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Finding the Fourth Proportional to 7,302.80, 10,077.84 and 4,159.52

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Solution

The fourth proportional to 7,302.80, 10,077.84 and 4,159.52 is: 5,740.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,302.80 : 10,077.84 = 4,159.52 : x
  2. Step 2: Convert to fraction form
    7,302.80/10,077.84 = 4,159.52/x
  3. Step 3: Cross multiply
    7,302.80x = 10,077.84 × 4,159.52
  4. Step 4: Simplify right side
    7,302.80x = 41,918,977.04
  5. Step 5: Solve for x
    x = 41,918,977.04/7,302.80
  6. Step 6: Final answer
    x = 5,740.12

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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.