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Finding the Fourth Proportional to 10,622.61, 14,658.93 and 5,842.31

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Solution

The fourth proportional to 10,622.61, 14,658.93 and 5,842.31 is: 8,062.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,622.61 : 14,658.93 = 5,842.31 : x
  2. Step 2: Convert to fraction form
    10,622.61/14,658.93 = 5,842.31/x
  3. Step 3: Cross multiply
    10,622.61x = 14,658.93 × 5,842.31
  4. Step 4: Simplify right side
    10,622.61x = 85,641,940.03
  5. Step 5: Solve for x
    x = 85,641,940.03/10,622.61
  6. Step 6: Final answer
    x = 8,062.23

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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.