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Finding the Fourth Proportional to 7,219.59, 10,830.75 and 2,290.47

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Solution

The fourth proportional to 7,219.59, 10,830.75 and 2,290.47 is: 3,436.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,219.59 : 10,830.75 = 2,290.47 : x
  2. Step 2: Convert to fraction form
    7,219.59/10,830.75 = 2,290.47/x
  3. Step 3: Cross multiply
    7,219.59x = 10,830.75 × 2,290.47
  4. Step 4: Simplify right side
    7,219.59x = 24,807,507.95
  5. Step 5: Solve for x
    x = 24,807,507.95/7,219.59
  6. Step 6: Final answer
    x = 3,436.14

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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.