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Finding the Fourth Proportional to 10,508.94, 15,758.82 and 5,577.39

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Solution

The fourth proportional to 10,508.94, 15,758.82 and 5,577.39 is: 8,363.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,508.94 : 15,758.82 = 5,577.39 : x
  2. Step 2: Convert to fraction form
    10,508.94/15,758.82 = 5,577.39/x
  3. Step 3: Cross multiply
    10,508.94x = 15,758.82 × 5,577.39
  4. Step 4: Simplify right side
    10,508.94x = 87,893,085.08
  5. Step 5: Solve for x
    x = 87,893,085.08/10,508.94
  6. Step 6: Final answer
    x = 8,363.65

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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.