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Finding the Fourth Proportional to 11,813.86, 17,714.58 and 5,237.20

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Solution

The fourth proportional to 11,813.86, 17,714.58 and 5,237.20 is: 7,853.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,813.86 : 17,714.58 = 5,237.20 : x
  2. Step 2: Convert to fraction form
    11,813.86/17,714.58 = 5,237.20/x
  3. Step 3: Cross multiply
    11,813.86x = 17,714.58 × 5,237.20
  4. Step 4: Simplify right side
    11,813.86x = 92,774,798.38
  5. Step 5: Solve for x
    x = 92,774,798.38/11,813.86
  6. Step 6: Final answer
    x = 7,853.05

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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.