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Finding the Fourth Proportional to 11,242.30, 15,515.31 and 6,206.98

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Solution

The fourth proportional to 11,242.30, 15,515.31 and 6,206.98 is: 8,566.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,242.30 : 15,515.31 = 6,206.98 : x
  2. Step 2: Convert to fraction form
    11,242.30/15,515.31 = 6,206.98/x
  3. Step 3: Cross multiply
    11,242.30x = 15,515.31 × 6,206.98
  4. Step 4: Simplify right side
    11,242.30x = 96,303,218.86
  5. Step 5: Solve for x
    x = 96,303,218.86/11,242.30
  6. Step 6: Final answer
    x = 8,566.15

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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.