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Finding the Fourth Proportional to 13,793.76, 19,035.41 and 7,506

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Solution

The fourth proportional to 13,793.76, 19,035.41 and 7,506 is: 10,358.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,793.76 : 19,035.41 = 7,506 : x
  2. Step 2: Convert to fraction form
    13,793.76/19,035.41 = 7,506/x
  3. Step 3: Cross multiply
    13,793.76x = 19,035.41 × 7,506
  4. Step 4: Simplify right side
    13,793.76x = 142,879,749.93
  5. Step 5: Solve for x
    x = 142,879,749.93/13,793.76
  6. Step 6: Final answer
    x = 10,358.29

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.