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Finding the Fourth Proportional to 8,187.51, 12,271.00 and 3,502.02

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Solution

The fourth proportional to 8,187.51, 12,271.00 and 3,502.02 is: 5,248.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,187.51 : 12,271.00 = 3,502.02 : x
  2. Step 2: Convert to fraction form
    8,187.51/12,271.00 = 3,502.02/x
  3. Step 3: Cross multiply
    8,187.51x = 12,271.00 × 3,502.02
  4. Step 4: Simplify right side
    8,187.51x = 42,973,269.91
  5. Step 5: Solve for x
    x = 42,973,269.91/8,187.51
  6. Step 6: Final answer
    x = 5,248.64

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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.