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Finding the Fourth Proportional to 7,648.08, 11,477.16 and 4,187.76

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Solution

The fourth proportional to 7,648.08, 11,477.16 and 4,187.76 is: 6,284.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,648.08 : 11,477.16 = 4,187.76 : x
  2. Step 2: Convert to fraction form
    7,648.08/11,477.16 = 4,187.76/x
  3. Step 3: Cross multiply
    7,648.08x = 11,477.16 × 4,187.76
  4. Step 4: Simplify right side
    7,648.08x = 48,063,591.56
  5. Step 5: Solve for x
    x = 48,063,591.56/7,648.08
  6. Step 6: Final answer
    x = 6,284.40

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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.