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Finding the Fourth Proportional to 6,858.40, 10,282.72 and 5,557

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Solution

The fourth proportional to 6,858.40, 10,282.72 and 5,557 is: 8,331.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,858.40 : 10,282.72 = 5,557 : x
  2. Step 2: Convert to fraction form
    6,858.40/10,282.72 = 5,557/x
  3. Step 3: Cross multiply
    6,858.40x = 10,282.72 × 5,557
  4. Step 4: Simplify right side
    6,858.40x = 57,141,075.04
  5. Step 5: Solve for x
    x = 57,141,075.04/6,858.40
  6. Step 6: Final answer
    x = 8,331.55

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.