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Finding the Fourth Proportional to 7,935.60, 10,960.47 and 5,278.26

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Solution

The fourth proportional to 7,935.60, 10,960.47 and 5,278.26 is: 7,290.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,935.60 : 10,960.47 = 5,278.26 : x
  2. Step 2: Convert to fraction form
    7,935.60/10,960.47 = 5,278.26/x
  3. Step 3: Cross multiply
    7,935.60x = 10,960.47 × 5,278.26
  4. Step 4: Simplify right side
    7,935.60x = 57,852,210.38
  5. Step 5: Solve for x
    x = 57,852,210.38/7,935.60
  6. Step 6: Final answer
    x = 7,290.21

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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.