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Finding the Fourth Proportional to 10,962.86, 15,133.68 and 6,989.30

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Solution

The fourth proportional to 10,962.86, 15,133.68 and 6,989.30 is: 9,648.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,962.86 : 15,133.68 = 6,989.30 : x
  2. Step 2: Convert to fraction form
    10,962.86/15,133.68 = 6,989.30/x
  3. Step 3: Cross multiply
    10,962.86x = 15,133.68 × 6,989.30
  4. Step 4: Simplify right side
    10,962.86x = 105,773,829.62
  5. Step 5: Solve for x
    x = 105,773,829.62/10,962.86
  6. Step 6: Final answer
    x = 9,648.38

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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.