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Finding the Fourth Proportional to 10,448.50, 15,679.23 and 6,068.02

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Solution

The fourth proportional to 10,448.50, 15,679.23 and 6,068.02 is: 9,105.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,448.50 : 15,679.23 = 6,068.02 : x
  2. Step 2: Convert to fraction form
    10,448.50/15,679.23 = 6,068.02/x
  3. Step 3: Cross multiply
    10,448.50x = 15,679.23 × 6,068.02
  4. Step 4: Simplify right side
    10,448.50x = 95,141,881.22
  5. Step 5: Solve for x
    x = 95,141,881.22/10,448.50
  6. Step 6: Final answer
    x = 9,105.79

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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.