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Finding the Fourth Proportional to 6,762.56, 10,124.16 and 4,781.12

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Solution

The fourth proportional to 6,762.56, 10,124.16 and 4,781.12 is: 7,157.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,762.56 : 10,124.16 = 4,781.12 : x
  2. Step 2: Convert to fraction form
    6,762.56/10,124.16 = 4,781.12/x
  3. Step 3: Cross multiply
    6,762.56x = 10,124.16 × 4,781.12
  4. Step 4: Simplify right side
    6,762.56x = 48,404,823.86
  5. Step 5: Solve for x
    x = 48,404,823.86/6,762.56
  6. Step 6: Final answer
    x = 7,157.77

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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.