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Finding the Fourth Proportional to 7,769.64, 10,723.24 and 4,411.77

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Solution

The fourth proportional to 7,769.64, 10,723.24 and 4,411.77 is: 6,088.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,769.64 : 10,723.24 = 4,411.77 : x
  2. Step 2: Convert to fraction form
    7,769.64/10,723.24 = 4,411.77/x
  3. Step 3: Cross multiply
    7,769.64x = 10,723.24 × 4,411.77
  4. Step 4: Simplify right side
    7,769.64x = 47,308,468.53
  5. Step 5: Solve for x
    x = 47,308,468.53/7,769.64
  6. Step 6: Final answer
    x = 6,088.89

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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.