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Finding the Fourth Proportional to 11,875.60, 17,822.14 and 5,635.63

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Solution

The fourth proportional to 11,875.60, 17,822.14 and 5,635.63 is: 8,457.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,875.60 : 17,822.14 = 5,635.63 : x
  2. Step 2: Convert to fraction form
    11,875.60/17,822.14 = 5,635.63/x
  3. Step 3: Cross multiply
    11,875.60x = 17,822.14 × 5,635.63
  4. Step 4: Simplify right side
    11,875.60x = 100,438,926.49
  5. Step 5: Solve for x
    x = 100,438,926.49/11,875.60
  6. Step 6: Final answer
    x = 8,457.59

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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.