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Finding the Fourth Proportional to 7,675.80, 10,585.98 and 5,994.60

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Solution

The fourth proportional to 7,675.80, 10,585.98 and 5,994.60 is: 8,267.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,675.80 : 10,585.98 = 5,994.60 : x
  2. Step 2: Convert to fraction form
    7,675.80/10,585.98 = 5,994.60/x
  3. Step 3: Cross multiply
    7,675.80x = 10,585.98 × 5,994.60
  4. Step 4: Simplify right side
    7,675.80x = 63,458,715.71
  5. Step 5: Solve for x
    x = 63,458,715.71/7,675.80
  6. Step 6: Final answer
    x = 8,267.37

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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.