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Finding the Fourth Proportional to 7,762.48, 10,712.31 and 4,225.75

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Solution

The fourth proportional to 7,762.48, 10,712.31 and 4,225.75 is: 5,831.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,762.48 : 10,712.31 = 4,225.75 : x
  2. Step 2: Convert to fraction form
    7,762.48/10,712.31 = 4,225.75/x
  3. Step 3: Cross multiply
    7,762.48x = 10,712.31 × 4,225.75
  4. Step 4: Simplify right side
    7,762.48x = 45,267,543.98
  5. Step 5: Solve for x
    x = 45,267,543.98/7,762.48
  6. Step 6: Final answer
    x = 5,831.58

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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.