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Finding the Fourth Proportional to 10,638.35, 14,678.88 and 6,860.78

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Solution

The fourth proportional to 10,638.35, 14,678.88 and 6,860.78 is: 9,466.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,638.35 : 14,678.88 = 6,860.78 : x
  2. Step 2: Convert to fraction form
    10,638.35/14,678.88 = 6,860.78/x
  3. Step 3: Cross multiply
    10,638.35x = 14,678.88 × 6,860.78
  4. Step 4: Simplify right side
    10,638.35x = 100,708,492.93
  5. Step 5: Solve for x
    x = 100,708,492.93/10,638.35
  6. Step 6: Final answer
    x = 9,466.56

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