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Finding the Fourth Proportional to 7,449.85, 10,277.54 and 4,616.47

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Solution

The fourth proportional to 7,449.85, 10,277.54 and 4,616.47 is: 6,368.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,449.85 : 10,277.54 = 4,616.47 : x
  2. Step 2: Convert to fraction form
    7,449.85/10,277.54 = 4,616.47/x
  3. Step 3: Cross multiply
    7,449.85x = 10,277.54 × 4,616.47
  4. Step 4: Simplify right side
    7,449.85x = 47,445,932.00
  5. Step 5: Solve for x
    x = 47,445,932.00/7,449.85
  6. Step 6: Final answer
    x = 6,368.71

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.