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Finding the Fourth Proportional to 11,461.83, 15,817.05 and 6,426.30

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Solution

The fourth proportional to 11,461.83, 15,817.05 and 6,426.30 is: 8,868.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,461.83 : 15,817.05 = 6,426.30 : x
  2. Step 2: Convert to fraction form
    11,461.83/15,817.05 = 6,426.30/x
  3. Step 3: Cross multiply
    11,461.83x = 15,817.05 × 6,426.30
  4. Step 4: Simplify right side
    11,461.83x = 101,645,108.42
  5. Step 5: Solve for x
    x = 101,645,108.42/11,461.83
  6. Step 6: Final answer
    x = 8,868.14

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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.