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Finding the Fourth Proportional to 11,578.88, 15,979.50 and 6,543.32

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Solution

The fourth proportional to 11,578.88, 15,979.50 and 6,543.32 is: 9,030.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,578.88 : 15,979.50 = 6,543.32 : x
  2. Step 2: Convert to fraction form
    11,578.88/15,979.50 = 6,543.32/x
  3. Step 3: Cross multiply
    11,578.88x = 15,979.50 × 6,543.32
  4. Step 4: Simplify right side
    11,578.88x = 104,558,902.04
  5. Step 5: Solve for x
    x = 104,558,902.04/11,578.88
  6. Step 6: Final answer
    x = 9,030.14

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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.