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Finding the Fourth Proportional to 8,384.13, 12,574.04 and 3,187.17

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Solution

The fourth proportional to 8,384.13, 12,574.04 and 3,187.17 is: 4,779.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,384.13 : 12,574.04 = 3,187.17 : x
  2. Step 2: Convert to fraction form
    8,384.13/12,574.04 = 3,187.17/x
  3. Step 3: Cross multiply
    8,384.13x = 12,574.04 × 3,187.17
  4. Step 4: Simplify right side
    8,384.13x = 40,075,587.13
  5. Step 5: Solve for x
    x = 40,075,587.13/8,384.13
  6. Step 6: Final answer
    x = 4,779.93

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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.