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Finding the Fourth Proportional to 10,624.25, 15,952.82 and 5,703.50

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Solution

The fourth proportional to 10,624.25, 15,952.82 and 5,703.50 is: 8,564.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,624.25 : 15,952.82 = 5,703.50 : x
  2. Step 2: Convert to fraction form
    10,624.25/15,952.82 = 5,703.50/x
  3. Step 3: Cross multiply
    10,624.25x = 15,952.82 × 5,703.50
  4. Step 4: Simplify right side
    10,624.25x = 90,986,800.59
  5. Step 5: Solve for x
    x = 90,986,800.59/10,624.25
  6. Step 6: Final answer
    x = 8,564.07

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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.