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Finding the Fourth Proportional to 7,816.83, 10,776 and 5,574.81

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Solution

The fourth proportional to 7,816.83, 10,776 and 5,574.81 is: 7,685.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,816.83 : 10,776 = 5,574.81 : x
  2. Step 2: Convert to fraction form
    7,816.83/10,776 = 5,574.81/x
  3. Step 3: Cross multiply
    7,816.83x = 10,776 × 5,574.81
  4. Step 4: Simplify right side
    7,816.83x = 60,074,152.56
  5. Step 5: Solve for x
    x = 60,074,152.56/7,816.83
  6. Step 6: Final answer
    x = 7,685.23

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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.