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Finding the Fourth Proportional to 6,158.80, 9,235.50 and 1,776.16

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Solution

The fourth proportional to 6,158.80, 9,235.50 and 1,776.16 is: 2,663.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,158.80 : 9,235.50 = 1,776.16 : x
  2. Step 2: Convert to fraction form
    6,158.80/9,235.50 = 1,776.16/x
  3. Step 3: Cross multiply
    6,158.80x = 9,235.50 × 1,776.16
  4. Step 4: Simplify right side
    6,158.80x = 16,403,725.68
  5. Step 5: Solve for x
    x = 16,403,725.68/6,158.80
  6. Step 6: Final answer
    x = 2,663.46

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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.