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Finding the Fourth Proportional to 8,563.86, 11,814.48 and 5,374.98

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Solution

The fourth proportional to 8,563.86, 11,814.48 and 5,374.98 is: 7,415.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,563.86 : 11,814.48 = 5,374.98 : x
  2. Step 2: Convert to fraction form
    8,563.86/11,814.48 = 5,374.98/x
  3. Step 3: Cross multiply
    8,563.86x = 11,814.48 × 5,374.98
  4. Step 4: Simplify right side
    8,563.86x = 63,502,593.71
  5. Step 5: Solve for x
    x = 63,502,593.71/8,563.86
  6. Step 6: Final answer
    x = 7,415.18

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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.