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Finding the Fourth Proportional to 8,408.15, 11,598.85 and 6,415.25

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Solution

The fourth proportional to 8,408.15, 11,598.85 and 6,415.25 is: 8,849.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,408.15 : 11,598.85 = 6,415.25 : x
  2. Step 2: Convert to fraction form
    8,408.15/11,598.85 = 6,415.25/x
  3. Step 3: Cross multiply
    8,408.15x = 11,598.85 × 6,415.25
  4. Step 4: Simplify right side
    8,408.15x = 74,409,501.65
  5. Step 5: Solve for x
    x = 74,409,501.65/8,408.15
  6. Step 6: Final answer
    x = 8,849.68

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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.