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Finding the Fourth Proportional to 7,830.58, 11,732.66 and 3,876.56

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Solution

The fourth proportional to 7,830.58, 11,732.66 and 3,876.56 is: 5,808.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,830.58 : 11,732.66 = 3,876.56 : x
  2. Step 2: Convert to fraction form
    7,830.58/11,732.66 = 3,876.56/x
  3. Step 3: Cross multiply
    7,830.58x = 11,732.66 × 3,876.56
  4. Step 4: Simplify right side
    7,830.58x = 45,482,360.45
  5. Step 5: Solve for x
    x = 45,482,360.45/7,830.58
  6. Step 6: Final answer
    x = 5,808.30

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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.