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Finding the Fourth Proportional to 7,402.65, 10,215.63 and 4,045.38

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Solution

The fourth proportional to 7,402.65, 10,215.63 and 4,045.38 is: 5,582.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,402.65 : 10,215.63 = 4,045.38 : x
  2. Step 2: Convert to fraction form
    7,402.65/10,215.63 = 4,045.38/x
  3. Step 3: Cross multiply
    7,402.65x = 10,215.63 × 4,045.38
  4. Step 4: Simplify right side
    7,402.65x = 41,326,105.29
  5. Step 5: Solve for x
    x = 41,326,105.29/7,402.65
  6. Step 6: Final answer
    x = 5,582.61

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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.