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Finding the Fourth Proportional to 10,097.82, 13,935.45 and 5,849.07

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Solution

The fourth proportional to 10,097.82, 13,935.45 and 5,849.07 is: 8,071.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,097.82 : 13,935.45 = 5,849.07 : x
  2. Step 2: Convert to fraction form
    10,097.82/13,935.45 = 5,849.07/x
  3. Step 3: Cross multiply
    10,097.82x = 13,935.45 × 5,849.07
  4. Step 4: Simplify right side
    10,097.82x = 81,509,422.53
  5. Step 5: Solve for x
    x = 81,509,422.53/10,097.82
  6. Step 6: Final answer
    x = 8,071.98

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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.