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Finding the Fourth Proportional to 10,036.09, 13,850.65 and 5,561.24

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Solution

The fourth proportional to 10,036.09, 13,850.65 and 5,561.24 is: 7,674.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,036.09 : 13,850.65 = 5,561.24 : x
  2. Step 2: Convert to fraction form
    10,036.09/13,850.65 = 5,561.24/x
  3. Step 3: Cross multiply
    10,036.09x = 13,850.65 × 5,561.24
  4. Step 4: Simplify right side
    10,036.09x = 77,026,830.38
  5. Step 5: Solve for x
    x = 77,026,830.38/10,036.09
  6. Step 6: Final answer
    x = 7,674.99

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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.