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Finding the Fourth Proportional to 8,005.74, 12,009.06 and 2,459.14

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Solution

The fourth proportional to 8,005.74, 12,009.06 and 2,459.14 is: 3,688.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,005.74 : 12,009.06 = 2,459.14 : x
  2. Step 2: Convert to fraction form
    8,005.74/12,009.06 = 2,459.14/x
  3. Step 3: Cross multiply
    8,005.74x = 12,009.06 × 2,459.14
  4. Step 4: Simplify right side
    8,005.74x = 29,531,959.81
  5. Step 5: Solve for x
    x = 29,531,959.81/8,005.74
  6. Step 6: Final answer
    x = 3,688.85

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.