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Finding the Fourth Proportional to 7,242.30, 10,852.10 and 5,781.06

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Solution

The fourth proportional to 7,242.30, 10,852.10 and 5,781.06 is: 8,662.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,242.30 : 10,852.10 = 5,781.06 : x
  2. Step 2: Convert to fraction form
    7,242.30/10,852.10 = 5,781.06/x
  3. Step 3: Cross multiply
    7,242.30x = 10,852.10 × 5,781.06
  4. Step 4: Simplify right side
    7,242.30x = 62,736,641.23
  5. Step 5: Solve for x
    x = 62,736,641.23/7,242.30
  6. Step 6: Final answer
    x = 8,662.53

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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.