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Finding the Fourth Proportional to 10,656.32, 14,706.84 and 6,408.78

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Solution

The fourth proportional to 10,656.32, 14,706.84 and 6,408.78 is: 8,844.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,656.32 : 14,706.84 = 6,408.78 : x
  2. Step 2: Convert to fraction form
    10,656.32/14,706.84 = 6,408.78/x
  3. Step 3: Cross multiply
    10,656.32x = 14,706.84 × 6,408.78
  4. Step 4: Simplify right side
    10,656.32x = 94,252,902.06
  5. Step 5: Solve for x
    x = 94,252,902.06/10,656.32
  6. Step 6: Final answer
    x = 8,844.79

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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.