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Finding the Fourth Proportional to 8,565.89, 11,820.87 and 5,208.10

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Solution

The fourth proportional to 8,565.89, 11,820.87 and 5,208.10 is: 7,187.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,565.89 : 11,820.87 = 5,208.10 : x
  2. Step 2: Convert to fraction form
    8,565.89/11,820.87 = 5,208.10/x
  3. Step 3: Cross multiply
    8,565.89x = 11,820.87 × 5,208.10
  4. Step 4: Simplify right side
    8,565.89x = 61,564,243.49
  5. Step 5: Solve for x
    x = 61,564,243.49/8,565.89
  6. Step 6: Final answer
    x = 7,187.14

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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.