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Finding the Fourth Proportional to 10,699.49, 14,769.27 and 8,054.57

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Solution

The fourth proportional to 10,699.49, 14,769.27 and 8,054.57 is: 11,118.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,699.49 : 14,769.27 = 8,054.57 : x
  2. Step 2: Convert to fraction form
    10,699.49/14,769.27 = 8,054.57/x
  3. Step 3: Cross multiply
    10,699.49x = 14,769.27 × 8,054.57
  4. Step 4: Simplify right side
    10,699.49x = 118,960,155.99
  5. Step 5: Solve for x
    x = 118,960,155.99/10,699.49
  6. Step 6: Final answer
    x = 11,118.30

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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.