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Finding the Fourth Proportional to 7,028.61, 10,545.84 and 3,077.83

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Solution

The fourth proportional to 7,028.61, 10,545.84 and 3,077.83 is: 4,618.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,028.61 : 10,545.84 = 3,077.83 : x
  2. Step 2: Convert to fraction form
    7,028.61/10,545.84 = 3,077.83/x
  3. Step 3: Cross multiply
    7,028.61x = 10,545.84 × 3,077.83
  4. Step 4: Simplify right side
    7,028.61x = 32,458,307.25
  5. Step 5: Solve for x
    x = 32,458,307.25/7,028.61
  6. Step 6: Final answer
    x = 4,618.02

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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.