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Finding the Fourth Proportional to 8,088, 12,120.32 and 4,626.24

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Solution

The fourth proportional to 8,088, 12,120.32 and 4,626.24 is: 6,932.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,088 : 12,120.32 = 4,626.24 : x
  2. Step 2: Convert to fraction form
    8,088/12,120.32 = 4,626.24/x
  3. Step 3: Cross multiply
    8,088x = 12,120.32 × 4,626.24
  4. Step 4: Simplify right side
    8,088x = 56,071,509.20
  5. Step 5: Solve for x
    x = 56,071,509.20/8,088
  6. Step 6: Final answer
    x = 6,932.68

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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.