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Finding the Fourth Proportional to 10,530.65, 14,532.20 and 5,750.57

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Solution

The fourth proportional to 10,530.65, 14,532.20 and 5,750.57 is: 7,935.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,530.65 : 14,532.20 = 5,750.57 : x
  2. Step 2: Convert to fraction form
    10,530.65/14,532.20 = 5,750.57/x
  3. Step 3: Cross multiply
    10,530.65x = 14,532.20 × 5,750.57
  4. Step 4: Simplify right side
    10,530.65x = 83,568,433.35
  5. Step 5: Solve for x
    x = 83,568,433.35/10,530.65
  6. Step 6: Final answer
    x = 7,935.73

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.