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Finding the Fourth Proportional to 7,513.78, 10,365.55 and 4,862.05

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Solution

The fourth proportional to 7,513.78, 10,365.55 and 4,862.05 is: 6,707.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,513.78 : 10,365.55 = 4,862.05 : x
  2. Step 2: Convert to fraction form
    7,513.78/10,365.55 = 4,862.05/x
  3. Step 3: Cross multiply
    7,513.78x = 10,365.55 × 4,862.05
  4. Step 4: Simplify right side
    7,513.78x = 50,397,822.38
  5. Step 5: Solve for x
    x = 50,397,822.38/7,513.78
  6. Step 6: Final answer
    x = 6,707.39

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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.