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Finding the Fourth Proportional to 7,665.36, 10,578.02 and 4,262.14

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Solution

The fourth proportional to 7,665.36, 10,578.02 and 4,262.14 is: 5,881.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,665.36 : 10,578.02 = 4,262.14 : x
  2. Step 2: Convert to fraction form
    7,665.36/10,578.02 = 4,262.14/x
  3. Step 3: Cross multiply
    7,665.36x = 10,578.02 × 4,262.14
  4. Step 4: Simplify right side
    7,665.36x = 45,085,002.16
  5. Step 5: Solve for x
    x = 45,085,002.16/7,665.36
  6. Step 6: Final answer
    x = 5,881.65

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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.