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Finding the Fourth Proportional to 7,817.36, 10,783.94 and 5,298.62

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Solution

The fourth proportional to 7,817.36, 10,783.94 and 5,298.62 is: 7,309.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,817.36 : 10,783.94 = 5,298.62 : x
  2. Step 2: Convert to fraction form
    7,817.36/10,783.94 = 5,298.62/x
  3. Step 3: Cross multiply
    7,817.36x = 10,783.94 × 5,298.62
  4. Step 4: Simplify right side
    7,817.36x = 57,139,919.75
  5. Step 5: Solve for x
    x = 57,139,919.75/7,817.36
  6. Step 6: Final answer
    x = 7,309.36

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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.