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Finding the Fourth Proportional to 10,637.80, 14,680.29 and 5,858.30

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Solution

The fourth proportional to 10,637.80, 14,680.29 and 5,858.30 is: 8,084.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,637.80 : 14,680.29 = 5,858.30 : x
  2. Step 2: Convert to fraction form
    10,637.80/14,680.29 = 5,858.30/x
  3. Step 3: Cross multiply
    10,637.80x = 14,680.29 × 5,858.30
  4. Step 4: Simplify right side
    10,637.80x = 86,001,542.91
  5. Step 5: Solve for x
    x = 86,001,542.91/10,637.80
  6. Step 6: Final answer
    x = 8,084.52

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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.