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Finding the Fourth Proportional to 8,749.96, 13,122.10 and 2,905

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Solution

The fourth proportional to 8,749.96, 13,122.10 and 2,905 is: 4,356.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,749.96 : 13,122.10 = 2,905 : x
  2. Step 2: Convert to fraction form
    8,749.96/13,122.10 = 2,905/x
  3. Step 3: Cross multiply
    8,749.96x = 13,122.10 × 2,905
  4. Step 4: Simplify right side
    8,749.96x = 38,119,700.50
  5. Step 5: Solve for x
    x = 38,119,700.50/8,749.96
  6. Step 6: Final answer
    x = 4,356.56

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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.