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Finding the Fourth Proportional to 7,858.87, 10,840.64 and 5,064.37

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Solution

The fourth proportional to 7,858.87, 10,840.64 and 5,064.37 is: 6,985.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,858.87 : 10,840.64 = 5,064.37 : x
  2. Step 2: Convert to fraction form
    7,858.87/10,840.64 = 5,064.37/x
  3. Step 3: Cross multiply
    7,858.87x = 10,840.64 × 5,064.37
  4. Step 4: Simplify right side
    7,858.87x = 54,900,959.57
  5. Step 5: Solve for x
    x = 54,900,959.57/7,858.87
  6. Step 6: Final answer
    x = 6,985.86

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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.