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Finding the Fourth Proportional to 8,907.57, 13,357.71 and 3,064.64

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Solution

The fourth proportional to 8,907.57, 13,357.71 and 3,064.64 is: 4,595.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,907.57 : 13,357.71 = 3,064.64 : x
  2. Step 2: Convert to fraction form
    8,907.57/13,357.71 = 3,064.64/x
  3. Step 3: Cross multiply
    8,907.57x = 13,357.71 × 3,064.64
  4. Step 4: Simplify right side
    8,907.57x = 40,936,505.59
  5. Step 5: Solve for x
    x = 40,936,505.59/8,907.57
  6. Step 6: Final answer
    x = 4,595.70

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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.