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Finding the Fourth Proportional to 10,572.50, 14,588.42 and 5,856.68

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Solution

The fourth proportional to 10,572.50, 14,588.42 and 5,856.68 is: 8,081.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,572.50 : 14,588.42 = 5,856.68 : x
  2. Step 2: Convert to fraction form
    10,572.50/14,588.42 = 5,856.68/x
  3. Step 3: Cross multiply
    10,572.50x = 14,588.42 × 5,856.68
  4. Step 4: Simplify right side
    10,572.50x = 85,439,707.65
  5. Step 5: Solve for x
    x = 85,439,707.65/10,572.50
  6. Step 6: Final answer
    x = 8,081.32

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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.