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Finding the Fourth Proportional to 10,059, 15,088.26 and 3,489.72

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Solution

The fourth proportional to 10,059, 15,088.26 and 3,489.72 is: 5,234.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,059 : 15,088.26 = 3,489.72 : x
  2. Step 2: Convert to fraction form
    10,059/15,088.26 = 3,489.72/x
  3. Step 3: Cross multiply
    10,059x = 15,088.26 × 3,489.72
  4. Step 4: Simplify right side
    10,059x = 52,653,802.69
  5. Step 5: Solve for x
    x = 52,653,802.69/10,059
  6. Step 6: Final answer
    x = 5,234.50

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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.