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Finding the Fourth Proportional to 11,284.92, 15,568.74 and 7,033.50

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Solution

The fourth proportional to 11,284.92, 15,568.74 and 7,033.50 is: 9,703.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,284.92 : 15,568.74 = 7,033.50 : x
  2. Step 2: Convert to fraction form
    11,284.92/15,568.74 = 7,033.50/x
  3. Step 3: Cross multiply
    11,284.92x = 15,568.74 × 7,033.50
  4. Step 4: Simplify right side
    11,284.92x = 109,502,732.79
  5. Step 5: Solve for x
    x = 109,502,732.79/11,284.92
  6. Step 6: Final answer
    x = 9,703.46

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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.