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Finding the Fourth Proportional to 10,083.18, 13,914.82 and 5,607.22

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Solution

The fourth proportional to 10,083.18, 13,914.82 and 5,607.22 is: 7,737.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,083.18 : 13,914.82 = 5,607.22 : x
  2. Step 2: Convert to fraction form
    10,083.18/13,914.82 = 5,607.22/x
  3. Step 3: Cross multiply
    10,083.18x = 13,914.82 × 5,607.22
  4. Step 4: Simplify right side
    10,083.18x = 78,023,457.00
  5. Step 5: Solve for x
    x = 78,023,457.00/10,083.18
  6. Step 6: Final answer
    x = 7,737.98

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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.