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Finding the Fourth Proportional to 7,602.85, 10,451.66 and 6,536.69

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Solution

The fourth proportional to 7,602.85, 10,451.66 and 6,536.69 is: 8,986.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,602.85 : 10,451.66 = 6,536.69 : x
  2. Step 2: Convert to fraction form
    7,602.85/10,451.66 = 6,536.69/x
  3. Step 3: Cross multiply
    7,602.85x = 10,451.66 × 6,536.69
  4. Step 4: Simplify right side
    7,602.85x = 68,319,261.41
  5. Step 5: Solve for x
    x = 68,319,261.41/7,602.85
  6. Step 6: Final answer
    x = 8,986.01

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.