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Finding the Fourth Proportional to 7,637.16, 10,544.04 and 5,865.24

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Solution

The fourth proportional to 7,637.16, 10,544.04 and 5,865.24 is: 8,097.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,637.16 : 10,544.04 = 5,865.24 : x
  2. Step 2: Convert to fraction form
    7,637.16/10,544.04 = 5,865.24/x
  3. Step 3: Cross multiply
    7,637.16x = 10,544.04 × 5,865.24
  4. Step 4: Simplify right side
    7,637.16x = 61,843,325.17
  5. Step 5: Solve for x
    x = 61,843,325.17/7,637.16
  6. Step 6: Final answer
    x = 8,097.69

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.