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Finding the Fourth Proportional to 10,882.50, 16,323.93 and 4,726.50

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Solution

The fourth proportional to 10,882.50, 16,323.93 and 4,726.50 is: 7,089.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,882.50 : 16,323.93 = 4,726.50 : x
  2. Step 2: Convert to fraction form
    10,882.50/16,323.93 = 4,726.50/x
  3. Step 3: Cross multiply
    10,882.50x = 16,323.93 × 4,726.50
  4. Step 4: Simplify right side
    10,882.50x = 77,155,055.15
  5. Step 5: Solve for x
    x = 77,155,055.15/10,882.50
  6. Step 6: Final answer
    x = 7,089.83

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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.