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Finding the Fourth Proportional to 7,657.77, 10,558.04 and 5,000.97

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Solution

The fourth proportional to 7,657.77, 10,558.04 and 5,000.97 is: 6,895.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,657.77 : 10,558.04 = 5,000.97 : x
  2. Step 2: Convert to fraction form
    7,657.77/10,558.04 = 5,000.97/x
  3. Step 3: Cross multiply
    7,657.77x = 10,558.04 × 5,000.97
  4. Step 4: Simplify right side
    7,657.77x = 52,800,416.29
  5. Step 5: Solve for x
    x = 52,800,416.29/7,657.77
  6. Step 6: Final answer
    x = 6,895.01

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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.