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Finding the Fourth Proportional to 8,530.96, 12,798.98 and 5,157.52

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Solution

The fourth proportional to 8,530.96, 12,798.98 and 5,157.52 is: 7,737.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,530.96 : 12,798.98 = 5,157.52 : x
  2. Step 2: Convert to fraction form
    8,530.96/12,798.98 = 5,157.52/x
  3. Step 3: Cross multiply
    8,530.96x = 12,798.98 × 5,157.52
  4. Step 4: Simplify right side
    8,530.96x = 66,010,995.33
  5. Step 5: Solve for x
    x = 66,010,995.33/8,530.96
  6. Step 6: Final answer
    x = 7,737.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.