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Finding the Fourth Proportional to 10,098.70, 13,934.09 and 5,849.51

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Solution

The fourth proportional to 10,098.70, 13,934.09 and 5,849.51 is: 8,071.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,098.70 : 13,934.09 = 5,849.51 : x
  2. Step 2: Convert to fraction form
    10,098.70/13,934.09 = 5,849.51/x
  3. Step 3: Cross multiply
    10,098.70x = 13,934.09 × 5,849.51
  4. Step 4: Simplify right side
    10,098.70x = 81,507,622.13
  5. Step 5: Solve for x
    x = 81,507,622.13/10,098.70
  6. Step 6: Final answer
    x = 8,071.10

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.