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Finding the Fourth Proportional to 10,035.15, 13,841.62 and 6,885.87

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Solution

The fourth proportional to 10,035.15, 13,841.62 and 6,885.87 is: 9,497.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,035.15 : 13,841.62 = 6,885.87 : x
  2. Step 2: Convert to fraction form
    10,035.15/13,841.62 = 6,885.87/x
  3. Step 3: Cross multiply
    10,035.15x = 13,841.62 × 6,885.87
  4. Step 4: Simplify right side
    10,035.15x = 95,311,595.91
  5. Step 5: Solve for x
    x = 95,311,595.91/10,035.15
  6. Step 6: Final answer
    x = 9,497.77

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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.