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Finding the Fourth Proportional to 7,762.24, 10,718.22 and 5,114.80

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Solution

The fourth proportional to 7,762.24, 10,718.22 and 5,114.80 is: 7,062.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,762.24 : 10,718.22 = 5,114.80 : x
  2. Step 2: Convert to fraction form
    7,762.24/10,718.22 = 5,114.80/x
  3. Step 3: Cross multiply
    7,762.24x = 10,718.22 × 5,114.80
  4. Step 4: Simplify right side
    7,762.24x = 54,821,551.66
  5. Step 5: Solve for x
    x = 54,821,551.66/7,762.24
  6. Step 6: Final answer
    x = 7,062.59

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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.