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Finding the Fourth Proportional to 10,065.60, 15,093 and 3,489.84

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Solution

The fourth proportional to 10,065.60, 15,093 and 3,489.84 is: 5,232.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,065.60 : 15,093 = 3,489.84 : x
  2. Step 2: Convert to fraction form
    10,065.60/15,093 = 3,489.84/x
  3. Step 3: Cross multiply
    10,065.60x = 15,093 × 3,489.84
  4. Step 4: Simplify right side
    10,065.60x = 52,672,155.12
  5. Step 5: Solve for x
    x = 52,672,155.12/10,065.60
  6. Step 6: Final answer
    x = 5,232.89

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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.