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Finding the Fourth Proportional to 10,503.51, 14,493.71 and 6,027.17

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Solution

The fourth proportional to 10,503.51, 14,493.71 and 6,027.17 is: 8,316.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,503.51 : 14,493.71 = 6,027.17 : x
  2. Step 2: Convert to fraction form
    10,503.51/14,493.71 = 6,027.17/x
  3. Step 3: Cross multiply
    10,503.51x = 14,493.71 × 6,027.17
  4. Step 4: Simplify right side
    10,503.51x = 87,355,951.50
  5. Step 5: Solve for x
    x = 87,355,951.50/10,503.51
  6. Step 6: Final answer
    x = 8,316.83

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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.