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Finding the Fourth Proportional to 7,807.74, 11,705.46 and 4,108.02

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Solution

The fourth proportional to 7,807.74, 11,705.46 and 4,108.02 is: 6,158.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,807.74 : 11,705.46 = 4,108.02 : x
  2. Step 2: Convert to fraction form
    7,807.74/11,705.46 = 4,108.02/x
  3. Step 3: Cross multiply
    7,807.74x = 11,705.46 × 4,108.02
  4. Step 4: Simplify right side
    7,807.74x = 48,086,263.79
  5. Step 5: Solve for x
    x = 48,086,263.79/7,807.74
  6. Step 6: Final answer
    x = 6,158.79

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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.