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Finding the Fourth Proportional to 8,563.68, 11,818.40 and 5,208.16

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Solution

The fourth proportional to 8,563.68, 11,818.40 and 5,208.16 is: 7,187.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,563.68 : 11,818.40 = 5,208.16 : x
  2. Step 2: Convert to fraction form
    8,563.68/11,818.40 = 5,208.16/x
  3. Step 3: Cross multiply
    8,563.68x = 11,818.40 × 5,208.16
  4. Step 4: Simplify right side
    8,563.68x = 61,552,118.14
  5. Step 5: Solve for x
    x = 61,552,118.14/8,563.68
  6. Step 6: Final answer
    x = 7,187.58

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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.