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Finding the Fourth Proportional to 7,410.18, 11,102.93 and 5,214.30

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Solution

The fourth proportional to 7,410.18, 11,102.93 and 5,214.30 is: 7,812.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,410.18 : 11,102.93 = 5,214.30 : x
  2. Step 2: Convert to fraction form
    7,410.18/11,102.93 = 5,214.30/x
  3. Step 3: Cross multiply
    7,410.18x = 11,102.93 × 5,214.30
  4. Step 4: Simplify right side
    7,410.18x = 57,893,952.38
  5. Step 5: Solve for x
    x = 57,893,952.38/7,410.18
  6. Step 6: Final answer
    x = 7,812.76

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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.