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Finding the Fourth Proportional to 10,818, 14,928.89 and 5,850

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Solution

The fourth proportional to 10,818, 14,928.89 and 5,850 is: 8,073.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,818 : 14,928.89 = 5,850 : x
  2. Step 2: Convert to fraction form
    10,818/14,928.89 = 5,850/x
  3. Step 3: Cross multiply
    10,818x = 14,928.89 × 5,850
  4. Step 4: Simplify right side
    10,818x = 87,333,977.25
  5. Step 5: Solve for x
    x = 87,333,977.25/10,818
  6. Step 6: Final answer
    x = 8,073.02

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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.