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Finding the Fourth Proportional to 11,598.32, 17,382.08 and 6,319.80

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Solution

The fourth proportional to 11,598.32, 17,382.08 and 6,319.80 is: 9,471.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,598.32 : 17,382.08 = 6,319.80 : x
  2. Step 2: Convert to fraction form
    11,598.32/17,382.08 = 6,319.80/x
  3. Step 3: Cross multiply
    11,598.32x = 17,382.08 × 6,319.80
  4. Step 4: Simplify right side
    11,598.32x = 109,851,269.18
  5. Step 5: Solve for x
    x = 109,851,269.18/11,598.32
  6. Step 6: Final answer
    x = 9,471.31

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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.