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Finding the Fourth Proportional to 13,378.38, 18,462.52 and 7,410.58

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Solution

The fourth proportional to 13,378.38, 18,462.52 and 7,410.58 is: 10,226.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,378.38 : 18,462.52 = 7,410.58 : x
  2. Step 2: Convert to fraction form
    13,378.38/18,462.52 = 7,410.58/x
  3. Step 3: Cross multiply
    13,378.38x = 18,462.52 × 7,410.58
  4. Step 4: Simplify right side
    13,378.38x = 136,817,981.46
  5. Step 5: Solve for x
    x = 136,817,981.46/13,378.38
  6. Step 6: Final answer
    x = 10,226.80

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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.