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Finding the Fourth Proportional to 7,831.52, 10,807.50 and 4,294.96

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Solution

The fourth proportional to 7,831.52, 10,807.50 and 4,294.96 is: 5,927.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,831.52 : 10,807.50 = 4,294.96 : x
  2. Step 2: Convert to fraction form
    7,831.52/10,807.50 = 4,294.96/x
  3. Step 3: Cross multiply
    7,831.52x = 10,807.50 × 4,294.96
  4. Step 4: Simplify right side
    7,831.52x = 46,417,780.20
  5. Step 5: Solve for x
    x = 46,417,780.20/7,831.52
  6. Step 6: Final answer
    x = 5,927.05

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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.