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Finding the Fourth Proportional to 10,426.08, 15,643.44 and 5,808

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Solution

The fourth proportional to 10,426.08, 15,643.44 and 5,808 is: 8,714.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,426.08 : 15,643.44 = 5,808 : x
  2. Step 2: Convert to fraction form
    10,426.08/15,643.44 = 5,808/x
  3. Step 3: Cross multiply
    10,426.08x = 15,643.44 × 5,808
  4. Step 4: Simplify right side
    10,426.08x = 90,857,099.52
  5. Step 5: Solve for x
    x = 90,857,099.52/10,426.08
  6. Step 6: Final answer
    x = 8,714.41

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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.