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Finding the Fourth Proportional to 10,929.42, 15,083.28 and 6,215.22

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Solution

The fourth proportional to 10,929.42, 15,083.28 and 6,215.22 is: 8,577.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,929.42 : 15,083.28 = 6,215.22 : x
  2. Step 2: Convert to fraction form
    10,929.42/15,083.28 = 6,215.22/x
  3. Step 3: Cross multiply
    10,929.42x = 15,083.28 × 6,215.22
  4. Step 4: Simplify right side
    10,929.42x = 93,745,903.52
  5. Step 5: Solve for x
    x = 93,745,903.52/10,929.42
  6. Step 6: Final answer
    x = 8,577.39

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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.