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Finding the Fourth Proportional to 7,851.47, 10,844.64 and 5,870.84

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Solution

The fourth proportional to 7,851.47, 10,844.64 and 5,870.84 is: 8,108.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,851.47 : 10,844.64 = 5,870.84 : x
  2. Step 2: Convert to fraction form
    7,851.47/10,844.64 = 5,870.84/x
  3. Step 3: Cross multiply
    7,851.47x = 10,844.64 × 5,870.84
  4. Step 4: Simplify right side
    7,851.47x = 63,667,092.07
  5. Step 5: Solve for x
    x = 63,667,092.07/7,851.47
  6. Step 6: Final answer
    x = 8,108.94

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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.