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Finding the Fourth Proportional to 7,465.75, 10,302.78 and 4,108.47

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Solution

The fourth proportional to 7,465.75, 10,302.78 and 4,108.47 is: 5,669.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,465.75 : 10,302.78 = 4,108.47 : x
  2. Step 2: Convert to fraction form
    7,465.75/10,302.78 = 4,108.47/x
  3. Step 3: Cross multiply
    7,465.75x = 10,302.78 × 4,108.47
  4. Step 4: Simplify right side
    7,465.75x = 42,328,623.91
  5. Step 5: Solve for x
    x = 42,328,623.91/7,465.75
  6. Step 6: Final answer
    x = 5,669.71

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.