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Finding the Fourth Proportional to 8,064.63, 12,098.43 and 5,725.35

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Solution

The fourth proportional to 8,064.63, 12,098.43 and 5,725.35 is: 8,589.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,064.63 : 12,098.43 = 5,725.35 : x
  2. Step 2: Convert to fraction form
    8,064.63/12,098.43 = 5,725.35/x
  3. Step 3: Cross multiply
    8,064.63x = 12,098.43 × 5,725.35
  4. Step 4: Simplify right side
    8,064.63x = 69,267,746.20
  5. Step 5: Solve for x
    x = 69,267,746.20/8,064.63
  6. Step 6: Final answer
    x = 8,589.08

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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.