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Finding the Fourth Proportional to 8,287.92, 11,438.74 and 5,303.60

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Solution

The fourth proportional to 8,287.92, 11,438.74 and 5,303.60 is: 7,319.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,287.92 : 11,438.74 = 5,303.60 : x
  2. Step 2: Convert to fraction form
    8,287.92/11,438.74 = 5,303.60/x
  3. Step 3: Cross multiply
    8,287.92x = 11,438.74 × 5,303.60
  4. Step 4: Simplify right side
    8,287.92x = 60,666,501.46
  5. Step 5: Solve for x
    x = 60,666,501.46/8,287.92
  6. Step 6: Final answer
    x = 7,319.87

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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.