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Finding the Fourth Proportional to 7,831.76, 10,808.15 and 4,295.12

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Solution

The fourth proportional to 7,831.76, 10,808.15 and 4,295.12 is: 5,927.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,831.76 : 10,808.15 = 4,295.12 : x
  2. Step 2: Convert to fraction form
    7,831.76/10,808.15 = 4,295.12/x
  3. Step 3: Cross multiply
    7,831.76x = 10,808.15 × 4,295.12
  4. Step 4: Simplify right side
    7,831.76x = 46,422,225.71
  5. Step 5: Solve for x
    x = 46,422,225.71/7,831.76
  6. Step 6: Final answer
    x = 5,927.44

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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.