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Finding the Fourth Proportional to 8,949, 13,423.47 and 5,053.38

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Solution

The fourth proportional to 8,949, 13,423.47 and 5,053.38 is: 7,580.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,949 : 13,423.47 = 5,053.38 : x
  2. Step 2: Convert to fraction form
    8,949/13,423.47 = 5,053.38/x
  3. Step 3: Cross multiply
    8,949x = 13,423.47 × 5,053.38
  4. Step 4: Simplify right side
    8,949x = 67,833,894.83
  5. Step 5: Solve for x
    x = 67,833,894.83/8,949
  6. Step 6: Final answer
    x = 7,580.05

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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.