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Finding the Fourth Proportional to 10,654.94, 14,703.90 and 5,874.77

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Solution

The fourth proportional to 10,654.94, 14,703.90 and 5,874.77 is: 8,107.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,654.94 : 14,703.90 = 5,874.77 : x
  2. Step 2: Convert to fraction form
    10,654.94/14,703.90 = 5,874.77/x
  3. Step 3: Cross multiply
    10,654.94x = 14,703.90 × 5,874.77
  4. Step 4: Simplify right side
    10,654.94x = 86,382,030.60
  5. Step 5: Solve for x
    x = 86,382,030.60/10,654.94
  6. Step 6: Final answer
    x = 8,107.23

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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.