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Finding the Fourth Proportional to 7,831.32, 10,807.40 and 4,848.60

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Solution

The fourth proportional to 7,831.32, 10,807.40 and 4,848.60 is: 6,691.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,831.32 : 10,807.40 = 4,848.60 : x
  2. Step 2: Convert to fraction form
    7,831.32/10,807.40 = 4,848.60/x
  3. Step 3: Cross multiply
    7,831.32x = 10,807.40 × 4,848.60
  4. Step 4: Simplify right side
    7,831.32x = 52,400,759.64
  5. Step 5: Solve for x
    x = 52,400,759.64/7,831.32
  6. Step 6: Final answer
    x = 6,691.18

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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.