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Finding the Fourth Proportional to 11,287.59, 15,576.83 and 6,507.50

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Solution

The fourth proportional to 11,287.59, 15,576.83 and 6,507.50 is: 8,980.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,287.59 : 15,576.83 = 6,507.50 : x
  2. Step 2: Convert to fraction form
    11,287.59/15,576.83 = 6,507.50/x
  3. Step 3: Cross multiply
    11,287.59x = 15,576.83 × 6,507.50
  4. Step 4: Simplify right side
    11,287.59x = 101,366,110.80
  5. Step 5: Solve for x
    x = 101,366,110.80/11,287.59
  6. Step 6: Final answer
    x = 8,980.32

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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.