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Finding the Fourth Proportional to 11,571.12, 17,359.08 and 4,646.16

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Solution

The fourth proportional to 11,571.12, 17,359.08 and 4,646.16 is: 6,970.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,571.12 : 17,359.08 = 4,646.16 : x
  2. Step 2: Convert to fraction form
    11,571.12/17,359.08 = 4,646.16/x
  3. Step 3: Cross multiply
    11,571.12x = 17,359.08 × 4,646.16
  4. Step 4: Simplify right side
    11,571.12x = 80,653,063.13
  5. Step 5: Solve for x
    x = 80,653,063.13/11,571.12
  6. Step 6: Final answer
    x = 6,970.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.