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Finding the Fourth Proportional to 11,797.47, 16,281.96 and 7,019.78

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Solution

The fourth proportional to 11,797.47, 16,281.96 and 7,019.78 is: 9,688.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,797.47 : 16,281.96 = 7,019.78 : x
  2. Step 2: Convert to fraction form
    11,797.47/16,281.96 = 7,019.78/x
  3. Step 3: Cross multiply
    11,797.47x = 16,281.96 × 7,019.78
  4. Step 4: Simplify right side
    11,797.47x = 114,295,695.76
  5. Step 5: Solve for x
    x = 114,295,695.76/11,797.47
  6. Step 6: Final answer
    x = 9,688.15

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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.