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Finding the Fourth Proportional to 7,574.80, 11,345.76 and 3,671

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Solution

The fourth proportional to 7,574.80, 11,345.76 and 3,671 is: 5,498.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,574.80 : 11,345.76 = 3,671 : x
  2. Step 2: Convert to fraction form
    7,574.80/11,345.76 = 3,671/x
  3. Step 3: Cross multiply
    7,574.80x = 11,345.76 × 3,671
  4. Step 4: Simplify right side
    7,574.80x = 41,650,284.96
  5. Step 5: Solve for x
    x = 41,650,284.96/7,574.80
  6. Step 6: Final answer
    x = 5,498.53

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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.