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Finding the Fourth Proportional to 10,097.51, 13,936.19 and 5,848.65

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Solution

The fourth proportional to 10,097.51, 13,936.19 and 5,848.65 is: 8,072.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,097.51 : 13,936.19 = 5,848.65 : x
  2. Step 2: Convert to fraction form
    10,097.51/13,936.19 = 5,848.65/x
  3. Step 3: Cross multiply
    10,097.51x = 13,936.19 × 5,848.65
  4. Step 4: Simplify right side
    10,097.51x = 81,507,868.40
  5. Step 5: Solve for x
    x = 81,507,868.40/10,097.51
  6. Step 6: Final answer
    x = 8,072.08

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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.