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Finding the Fourth Proportional to 11,290.50, 15,580.89 and 6,322.50

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Solution

The fourth proportional to 11,290.50, 15,580.89 and 6,322.50 is: 8,725.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,290.50 : 15,580.89 = 6,322.50 : x
  2. Step 2: Convert to fraction form
    11,290.50/15,580.89 = 6,322.50/x
  3. Step 3: Cross multiply
    11,290.50x = 15,580.89 × 6,322.50
  4. Step 4: Simplify right side
    11,290.50x = 98,510,177.03
  5. Step 5: Solve for x
    x = 98,510,177.03/11,290.50
  6. Step 6: Final answer
    x = 8,725.05

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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.