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Finding the Fourth Proportional to 7,032.86, 10,549.30 and 2,874.83

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Solution

The fourth proportional to 7,032.86, 10,549.30 and 2,874.83 is: 4,312.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,032.86 : 10,549.30 = 2,874.83 : x
  2. Step 2: Convert to fraction form
    7,032.86/10,549.30 = 2,874.83/x
  3. Step 3: Cross multiply
    7,032.86x = 10,549.30 × 2,874.83
  4. Step 4: Simplify right side
    7,032.86x = 30,327,444.12
  5. Step 5: Solve for x
    x = 30,327,444.12/7,032.86
  6. Step 6: Final answer
    x = 4,312.25

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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.