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Finding the Fourth Proportional to 10,508.62, 14,501.18 and 5,792.88

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Solution

The fourth proportional to 10,508.62, 14,501.18 and 5,792.88 is: 7,993.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,508.62 : 14,501.18 = 5,792.88 : x
  2. Step 2: Convert to fraction form
    10,508.62/14,501.18 = 5,792.88/x
  3. Step 3: Cross multiply
    10,508.62x = 14,501.18 × 5,792.88
  4. Step 4: Simplify right side
    10,508.62x = 84,003,595.60
  5. Step 5: Solve for x
    x = 84,003,595.60/10,508.62
  6. Step 6: Final answer
    x = 7,993.78

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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.