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Finding the Fourth Proportional to 10,618.94, 14,654.32 and 5,839.08

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Solution

The fourth proportional to 10,618.94, 14,654.32 and 5,839.08 is: 8,058.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,618.94 : 14,654.32 = 5,839.08 : x
  2. Step 2: Convert to fraction form
    10,618.94/14,654.32 = 5,839.08/x
  3. Step 3: Cross multiply
    10,618.94x = 14,654.32 × 5,839.08
  4. Step 4: Simplify right side
    10,618.94x = 85,567,746.83
  5. Step 5: Solve for x
    x = 85,567,746.83/10,618.94
  6. Step 6: Final answer
    x = 8,058.03

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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.