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Finding the Fourth Proportional to 10,849.86, 16,281.48 and 5,006.94

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Solution

The fourth proportional to 10,849.86, 16,281.48 and 5,006.94 is: 7,513.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,849.86 : 16,281.48 = 5,006.94 : x
  2. Step 2: Convert to fraction form
    10,849.86/16,281.48 = 5,006.94/x
  3. Step 3: Cross multiply
    10,849.86x = 16,281.48 × 5,006.94
  4. Step 4: Simplify right side
    10,849.86x = 81,520,393.47
  5. Step 5: Solve for x
    x = 81,520,393.47/10,849.86
  6. Step 6: Final answer
    x = 7,513.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.