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Finding the Fourth Proportional to 7,290.60, 10,932.14 and 2,359.60

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Solution

The fourth proportional to 7,290.60, 10,932.14 and 2,359.60 is: 3,538.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,290.60 : 10,932.14 = 2,359.60 : x
  2. Step 2: Convert to fraction form
    7,290.60/10,932.14 = 2,359.60/x
  3. Step 3: Cross multiply
    7,290.60x = 10,932.14 × 2,359.60
  4. Step 4: Simplify right side
    7,290.60x = 25,795,477.54
  5. Step 5: Solve for x
    x = 25,795,477.54/7,290.60
  6. Step 6: Final answer
    x = 3,538.18

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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.