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Finding the Fourth Proportional to 8,405.64, 11,599.62 and 5,752.98

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Solution

The fourth proportional to 8,405.64, 11,599.62 and 5,752.98 is: 7,939.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,405.64 : 11,599.62 = 5,752.98 : x
  2. Step 2: Convert to fraction form
    8,405.64/11,599.62 = 5,752.98/x
  3. Step 3: Cross multiply
    8,405.64x = 11,599.62 × 5,752.98
  4. Step 4: Simplify right side
    8,405.64x = 66,732,381.87
  5. Step 5: Solve for x
    x = 66,732,381.87/8,405.64
  6. Step 6: Final answer
    x = 7,939.00

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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.