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Finding the Fourth Proportional to 11,479.53, 15,842.53 and 6,444.12

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Solution

The fourth proportional to 11,479.53, 15,842.53 and 6,444.12 is: 8,893.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,479.53 : 15,842.53 = 6,444.12 : x
  2. Step 2: Convert to fraction form
    11,479.53/15,842.53 = 6,444.12/x
  3. Step 3: Cross multiply
    11,479.53x = 15,842.53 × 6,444.12
  4. Step 4: Simplify right side
    11,479.53x = 102,091,164.42
  5. Step 5: Solve for x
    x = 102,091,164.42/11,479.53
  6. Step 6: Final answer
    x = 8,893.32

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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.