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Finding the Fourth Proportional to 11,287.50, 15,576.75 and 6,319.50

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Solution

The fourth proportional to 11,287.50, 15,576.75 and 6,319.50 is: 8,720.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,287.50 : 15,576.75 = 6,319.50 : x
  2. Step 2: Convert to fraction form
    11,287.50/15,576.75 = 6,319.50/x
  3. Step 3: Cross multiply
    11,287.50x = 15,576.75 × 6,319.50
  4. Step 4: Simplify right side
    11,287.50x = 98,437,271.63
  5. Step 5: Solve for x
    x = 98,437,271.63/11,287.50
  6. Step 6: Final answer
    x = 8,720.91

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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.