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Finding the Fourth Proportional to 8,406.99, 11,597.75 and 5,423.78

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Solution

The fourth proportional to 8,406.99, 11,597.75 and 5,423.78 is: 7,482.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,406.99 : 11,597.75 = 5,423.78 : x
  2. Step 2: Convert to fraction form
    8,406.99/11,597.75 = 5,423.78/x
  3. Step 3: Cross multiply
    8,406.99x = 11,597.75 × 5,423.78
  4. Step 4: Simplify right side
    8,406.99x = 62,903,601.47
  5. Step 5: Solve for x
    x = 62,903,601.47/8,406.99
  6. Step 6: Final answer
    x = 7,482.30

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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.