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Finding the Fourth Proportional to 10,701.90, 16,050.42 and 5,152.41

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Solution

The fourth proportional to 10,701.90, 16,050.42 and 5,152.41 is: 7,727.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,701.90 : 16,050.42 = 5,152.41 : x
  2. Step 2: Convert to fraction form
    10,701.90/16,050.42 = 5,152.41/x
  3. Step 3: Cross multiply
    10,701.90x = 16,050.42 × 5,152.41
  4. Step 4: Simplify right side
    10,701.90x = 82,698,344.51
  5. Step 5: Solve for x
    x = 82,698,344.51/10,701.90
  6. Step 6: Final answer
    x = 7,727.45

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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.