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Finding the Fourth Proportional to 10,788.70, 14,889.42 and 6,312.17

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Solution

The fourth proportional to 10,788.70, 14,889.42 and 6,312.17 is: 8,711.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,788.70 : 14,889.42 = 6,312.17 : x
  2. Step 2: Convert to fraction form
    10,788.70/14,889.42 = 6,312.17/x
  3. Step 3: Cross multiply
    10,788.70x = 14,889.42 × 6,312.17
  4. Step 4: Simplify right side
    10,788.70x = 93,984,550.24
  5. Step 5: Solve for x
    x = 93,984,550.24/10,788.70
  6. Step 6: Final answer
    x = 8,711.39

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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.