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Finding the Fourth Proportional to 11,041.90, 16,570.12 and 5,200.18

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Solution

The fourth proportional to 11,041.90, 16,570.12 and 5,200.18 is: 7,803.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,041.90 : 16,570.12 = 5,200.18 : x
  2. Step 2: Convert to fraction form
    11,041.90/16,570.12 = 5,200.18/x
  3. Step 3: Cross multiply
    11,041.90x = 16,570.12 × 5,200.18
  4. Step 4: Simplify right side
    11,041.90x = 86,167,606.62
  5. Step 5: Solve for x
    x = 86,167,606.62/11,041.90
  6. Step 6: Final answer
    x = 7,803.69

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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.