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Finding the Fourth Proportional to 10,458.44, 15,687.64 and 4,911.77

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Solution

The fourth proportional to 10,458.44, 15,687.64 and 4,911.77 is: 7,367.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,458.44 : 15,687.64 = 4,911.77 : x
  2. Step 2: Convert to fraction form
    10,458.44/15,687.64 = 4,911.77/x
  3. Step 3: Cross multiply
    10,458.44x = 15,687.64 × 4,911.77
  4. Step 4: Simplify right side
    10,458.44x = 77,053,988.81
  5. Step 5: Solve for x
    x = 77,053,988.81/10,458.44
  6. Step 6: Final answer
    x = 7,367.64

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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.