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Finding the Fourth Proportional to 7,641.30, 11,440.08 and 4,699.78

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Solution

The fourth proportional to 7,641.30, 11,440.08 and 4,699.78 is: 7,036.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,641.30 : 11,440.08 = 4,699.78 : x
  2. Step 2: Convert to fraction form
    7,641.30/11,440.08 = 4,699.78/x
  3. Step 3: Cross multiply
    7,641.30x = 11,440.08 × 4,699.78
  4. Step 4: Simplify right side
    7,641.30x = 53,765,859.18
  5. Step 5: Solve for x
    x = 53,765,859.18/7,641.30
  6. Step 6: Final answer
    x = 7,036.22

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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.