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Finding the Fourth Proportional to 10,007.84, 13,807.44 and 5,812.64

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Solution

The fourth proportional to 10,007.84, 13,807.44 and 5,812.64 is: 8,019.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,007.84 : 13,807.44 = 5,812.64 : x
  2. Step 2: Convert to fraction form
    10,007.84/13,807.44 = 5,812.64/x
  3. Step 3: Cross multiply
    10,007.84x = 13,807.44 × 5,812.64
  4. Step 4: Simplify right side
    10,007.84x = 80,257,678.04
  5. Step 5: Solve for x
    x = 80,257,678.04/10,007.84
  6. Step 6: Final answer
    x = 8,019.48

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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.