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Finding the Fourth Proportional to 8,536.74, 11,775.15 and 6,022.50

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Solution

The fourth proportional to 8,536.74, 11,775.15 and 6,022.50 is: 8,307.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,536.74 : 11,775.15 = 6,022.50 : x
  2. Step 2: Convert to fraction form
    8,536.74/11,775.15 = 6,022.50/x
  3. Step 3: Cross multiply
    8,536.74x = 11,775.15 × 6,022.50
  4. Step 4: Simplify right side
    8,536.74x = 70,915,840.88
  5. Step 5: Solve for x
    x = 70,915,840.88/8,536.74
  6. Step 6: Final answer
    x = 8,307.13

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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.