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Finding the Fourth Proportional to 7,356.49, 10,143.71 and 6,889.93

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Solution

The fourth proportional to 7,356.49, 10,143.71 and 6,889.93 is: 9,500.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,356.49 : 10,143.71 = 6,889.93 : x
  2. Step 2: Convert to fraction form
    7,356.49/10,143.71 = 6,889.93/x
  3. Step 3: Cross multiply
    7,356.49x = 10,143.71 × 6,889.93
  4. Step 4: Simplify right side
    7,356.49x = 69,889,451.84
  5. Step 5: Solve for x
    x = 69,889,451.84/7,356.49
  6. Step 6: Final answer
    x = 9,500.38

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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.