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Finding the Fourth Proportional to 10,834.98, 14,952.06 and 6,054.97

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Solution

The fourth proportional to 10,834.98, 14,952.06 and 6,054.97 is: 8,355.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,834.98 : 14,952.06 = 6,054.97 : x
  2. Step 2: Convert to fraction form
    10,834.98/14,952.06 = 6,054.97/x
  3. Step 3: Cross multiply
    10,834.98x = 14,952.06 × 6,054.97
  4. Step 4: Simplify right side
    10,834.98x = 90,534,237.36
  5. Step 5: Solve for x
    x = 90,534,237.36/10,834.98
  6. Step 6: Final answer
    x = 8,355.74

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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.