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Finding the Fourth Proportional to 10,715.90, 14,787.78 and 6,000.35

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Solution

The fourth proportional to 10,715.90, 14,787.78 and 6,000.35 is: 8,280.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,715.90 : 14,787.78 = 6,000.35 : x
  2. Step 2: Convert to fraction form
    10,715.90/14,787.78 = 6,000.35/x
  3. Step 3: Cross multiply
    10,715.90x = 14,787.78 × 6,000.35
  4. Step 4: Simplify right side
    10,715.90x = 88,731,855.72
  5. Step 5: Solve for x
    x = 88,731,855.72/10,715.90
  6. Step 6: Final answer
    x = 8,280.39

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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.