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Finding the Fourth Proportional to 10,532, 15,788.28 and 3,953.72

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Solution

The fourth proportional to 10,532, 15,788.28 and 3,953.72 is: 5,926.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,532 : 15,788.28 = 3,953.72 : x
  2. Step 2: Convert to fraction form
    10,532/15,788.28 = 3,953.72/x
  3. Step 3: Cross multiply
    10,532x = 15,788.28 × 3,953.72
  4. Step 4: Simplify right side
    10,532x = 62,422,438.40
  5. Step 5: Solve for x
    x = 62,422,438.40/10,532
  6. Step 6: Final answer
    x = 5,926.93

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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.