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Finding the Fourth Proportional to 10,795.86, 14,898.90 and 6,080.46

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Solution

The fourth proportional to 10,795.86, 14,898.90 and 6,080.46 is: 8,391.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,795.86 : 14,898.90 = 6,080.46 : x
  2. Step 2: Convert to fraction form
    10,795.86/14,898.90 = 6,080.46/x
  3. Step 3: Cross multiply
    10,795.86x = 14,898.90 × 6,080.46
  4. Step 4: Simplify right side
    10,795.86x = 90,592,165.49
  5. Step 5: Solve for x
    x = 90,592,165.49/10,795.86
  6. Step 6: Final answer
    x = 8,391.38

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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.