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Finding the Fourth Proportional to 7,848.32, 10,833.08 and 4,662.12

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Solution

The fourth proportional to 7,848.32, 10,833.08 and 4,662.12 is: 6,435.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,848.32 : 10,833.08 = 4,662.12 : x
  2. Step 2: Convert to fraction form
    7,848.32/10,833.08 = 4,662.12/x
  3. Step 3: Cross multiply
    7,848.32x = 10,833.08 × 4,662.12
  4. Step 4: Simplify right side
    7,848.32x = 50,505,095.62
  5. Step 5: Solve for x
    x = 50,505,095.62/7,848.32
  6. Step 6: Final answer
    x = 6,435.15

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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.