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Finding the Fourth Proportional to 7,570.36, 11,359.02 and 3,408.12

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Solution

The fourth proportional to 7,570.36, 11,359.02 and 3,408.12 is: 5,113.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,570.36 : 11,359.02 = 3,408.12 : x
  2. Step 2: Convert to fraction form
    7,570.36/11,359.02 = 3,408.12/x
  3. Step 3: Cross multiply
    7,570.36x = 11,359.02 × 3,408.12
  4. Step 4: Simplify right side
    7,570.36x = 38,712,903.24
  5. Step 5: Solve for x
    x = 38,712,903.24/7,570.36
  6. Step 6: Final answer
    x = 5,113.75

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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.