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Finding the Fourth Proportional to 7,462.64, 11,187.48 and 4,830.92

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Solution

The fourth proportional to 7,462.64, 11,187.48 and 4,830.92 is: 7,242.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,462.64 : 11,187.48 = 4,830.92 : x
  2. Step 2: Convert to fraction form
    7,462.64/11,187.48 = 4,830.92/x
  3. Step 3: Cross multiply
    7,462.64x = 11,187.48 × 4,830.92
  4. Step 4: Simplify right side
    7,462.64x = 54,045,820.88
  5. Step 5: Solve for x
    x = 54,045,820.88/7,462.64
  6. Step 6: Final answer
    x = 7,242.19

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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.