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Finding the Fourth Proportional to 7,762.74, 10,713.03 and 4,225.86

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Solution

The fourth proportional to 7,762.74, 10,713.03 and 4,225.86 is: 5,831.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,762.74 : 10,713.03 = 4,225.86 : x
  2. Step 2: Convert to fraction form
    7,762.74/10,713.03 = 4,225.86/x
  3. Step 3: Cross multiply
    7,762.74x = 10,713.03 × 4,225.86
  4. Step 4: Simplify right side
    7,762.74x = 45,271,764.96
  5. Step 5: Solve for x
    x = 45,271,764.96/7,762.74
  6. Step 6: Final answer
    x = 5,831.93

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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.