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Finding the Fourth Proportional to 11,575.50, 15,967.11 and 6,856.62

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Solution

The fourth proportional to 11,575.50, 15,967.11 and 6,856.62 is: 9,457.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,575.50 : 15,967.11 = 6,856.62 : x
  2. Step 2: Convert to fraction form
    11,575.50/15,967.11 = 6,856.62/x
  3. Step 3: Cross multiply
    11,575.50x = 15,967.11 × 6,856.62
  4. Step 4: Simplify right side
    11,575.50x = 109,480,405.77
  5. Step 5: Solve for x
    x = 109,480,405.77/11,575.50
  6. Step 6: Final answer
    x = 9,457.94

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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.