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Finding the Fourth Proportional to 10,885.68, 16,335 and 5,044.32

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Solution

The fourth proportional to 10,885.68, 16,335 and 5,044.32 is: 7,569.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,885.68 : 16,335 = 5,044.32 : x
  2. Step 2: Convert to fraction form
    10,885.68/16,335 = 5,044.32/x
  3. Step 3: Cross multiply
    10,885.68x = 16,335 × 5,044.32
  4. Step 4: Simplify right side
    10,885.68x = 82,398,967.20
  5. Step 5: Solve for x
    x = 82,398,967.20/10,885.68
  6. Step 6: Final answer
    x = 7,569.48

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.