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Finding the Fourth Proportional to 10,561.39, 14,558.13 and 7,018.45

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Solution

The fourth proportional to 10,561.39, 14,558.13 and 7,018.45 is: 9,674.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,561.39 : 14,558.13 = 7,018.45 : x
  2. Step 2: Convert to fraction form
    10,561.39/14,558.13 = 7,018.45/x
  3. Step 3: Cross multiply
    10,561.39x = 14,558.13 × 7,018.45
  4. Step 4: Simplify right side
    10,561.39x = 102,175,471.10
  5. Step 5: Solve for x
    x = 102,175,471.10/10,561.39
  6. Step 6: Final answer
    x = 9,674.44

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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.