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Finding the Fourth Proportional to 10,709.60, 16,064.40 and 2,918.40

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Solution

The fourth proportional to 10,709.60, 16,064.40 and 2,918.40 is: 4,377.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,709.60 : 16,064.40 = 2,918.40 : x
  2. Step 2: Convert to fraction form
    10,709.60/16,064.40 = 2,918.40/x
  3. Step 3: Cross multiply
    10,709.60x = 16,064.40 × 2,918.40
  4. Step 4: Simplify right side
    10,709.60x = 46,882,344.96
  5. Step 5: Solve for x
    x = 46,882,344.96/10,709.60
  6. Step 6: Final answer
    x = 4,377.60

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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.