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Finding the Fourth Proportional to 10,684.71, 16,017.30 and 4,758.48

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Solution

The fourth proportional to 10,684.71, 16,017.30 and 4,758.48 is: 7,133.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,684.71 : 16,017.30 = 4,758.48 : x
  2. Step 2: Convert to fraction form
    10,684.71/16,017.30 = 4,758.48/x
  3. Step 3: Cross multiply
    10,684.71x = 16,017.30 × 4,758.48
  4. Step 4: Simplify right side
    10,684.71x = 76,218,001.70
  5. Step 5: Solve for x
    x = 76,218,001.70/10,684.71
  6. Step 6: Final answer
    x = 7,133.37

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.