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Finding the Fourth Proportional to 10,710.12, 16,061.94 and 3,783

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Solution

The fourth proportional to 10,710.12, 16,061.94 and 3,783 is: 5,673.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,710.12 : 16,061.94 = 3,783 : x
  2. Step 2: Convert to fraction form
    10,710.12/16,061.94 = 3,783/x
  3. Step 3: Cross multiply
    10,710.12x = 16,061.94 × 3,783
  4. Step 4: Simplify right side
    10,710.12x = 60,762,319.02
  5. Step 5: Solve for x
    x = 60,762,319.02/10,710.12
  6. Step 6: Final answer
    x = 5,673.36

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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.