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Finding the Fourth Proportional to 8,977.74, 13,465.68 and 2,404.60

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Solution

The fourth proportional to 8,977.74, 13,465.68 and 2,404.60 is: 3,606.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,977.74 : 13,465.68 = 2,404.60 : x
  2. Step 2: Convert to fraction form
    8,977.74/13,465.68 = 2,404.60/x
  3. Step 3: Cross multiply
    8,977.74x = 13,465.68 × 2,404.60
  4. Step 4: Simplify right side
    8,977.74x = 32,379,574.13
  5. Step 5: Solve for x
    x = 32,379,574.13/8,977.74
  6. Step 6: Final answer
    x = 3,606.65

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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.