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Finding the Fourth Proportional to 7,145.64, 10,709.82 and 3,033

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Solution

The fourth proportional to 7,145.64, 10,709.82 and 3,033 is: 4,545.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,145.64 : 10,709.82 = 3,033 : x
  2. Step 2: Convert to fraction form
    7,145.64/10,709.82 = 3,033/x
  3. Step 3: Cross multiply
    7,145.64x = 10,709.82 × 3,033
  4. Step 4: Simplify right side
    7,145.64x = 32,482,884.06
  5. Step 5: Solve for x
    x = 32,482,884.06/7,145.64
  6. Step 6: Final answer
    x = 4,545.83

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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.