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Finding the Fourth Proportional to 7,242.47, 9,980.94 and 5,805.20

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Solution

The fourth proportional to 7,242.47, 9,980.94 and 5,805.20 is: 8,000.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,242.47 : 9,980.94 = 5,805.20 : x
  2. Step 2: Convert to fraction form
    7,242.47/9,980.94 = 5,805.20/x
  3. Step 3: Cross multiply
    7,242.47x = 9,980.94 × 5,805.20
  4. Step 4: Simplify right side
    7,242.47x = 57,941,352.89
  5. Step 5: Solve for x
    x = 57,941,352.89/7,242.47
  6. Step 6: Final answer
    x = 8,000.22

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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.