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Finding the Fourth Proportional to 10,214.79, 15,292.44 and 7,593.90

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Solution

The fourth proportional to 10,214.79, 15,292.44 and 7,593.90 is: 11,368.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,214.79 : 15,292.44 = 7,593.90 : x
  2. Step 2: Convert to fraction form
    10,214.79/15,292.44 = 7,593.90/x
  3. Step 3: Cross multiply
    10,214.79x = 15,292.44 × 7,593.90
  4. Step 4: Simplify right side
    10,214.79x = 116,129,260.12
  5. Step 5: Solve for x
    x = 116,129,260.12/10,214.79
  6. Step 6: Final answer
    x = 11,368.74

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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.