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Finding the Fourth Proportional to 7,853.16, 10,833.72 and 4,664.64

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Solution

The fourth proportional to 7,853.16, 10,833.72 and 4,664.64 is: 6,435.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,853.16 : 10,833.72 = 4,664.64 : x
  2. Step 2: Convert to fraction form
    7,853.16/10,833.72 = 4,664.64/x
  3. Step 3: Cross multiply
    7,853.16x = 10,833.72 × 4,664.64
  4. Step 4: Simplify right side
    7,853.16x = 50,535,403.66
  5. Step 5: Solve for x
    x = 50,535,403.66/7,853.16
  6. Step 6: Final answer
    x = 6,435.04

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.