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Finding the Fourth Proportional to 7,637.84, 11,455.92 and 3,730.40

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Solution

The fourth proportional to 7,637.84, 11,455.92 and 3,730.40 is: 5,595.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,637.84 : 11,455.92 = 3,730.40 : x
  2. Step 2: Convert to fraction form
    7,637.84/11,455.92 = 3,730.40/x
  3. Step 3: Cross multiply
    7,637.84x = 11,455.92 × 3,730.40
  4. Step 4: Simplify right side
    7,637.84x = 42,735,163.97
  5. Step 5: Solve for x
    x = 42,735,163.97/7,637.84
  6. Step 6: Final answer
    x = 5,595.19

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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.