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Finding the Fourth Proportional to 7,857.03, 10,849.68 and 5,864.07

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Solution

The fourth proportional to 7,857.03, 10,849.68 and 5,864.07 is: 8,097.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,857.03 : 10,849.68 = 5,864.07 : x
  2. Step 2: Convert to fraction form
    7,857.03/10,849.68 = 5,864.07/x
  3. Step 3: Cross multiply
    7,857.03x = 10,849.68 × 5,864.07
  4. Step 4: Simplify right side
    7,857.03x = 63,623,283.00
  5. Step 5: Solve for x
    x = 63,623,283.00/7,857.03
  6. Step 6: Final answer
    x = 8,097.63

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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.