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Finding the Fourth Proportional to 11,701.64, 16,139.80 and 7,448.51

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Solution

The fourth proportional to 11,701.64, 16,139.80 and 7,448.51 is: 10,273.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,701.64 : 16,139.80 = 7,448.51 : x
  2. Step 2: Convert to fraction form
    11,701.64/16,139.80 = 7,448.51/x
  3. Step 3: Cross multiply
    11,701.64x = 16,139.80 × 7,448.51
  4. Step 4: Simplify right side
    11,701.64x = 120,217,461.70
  5. Step 5: Solve for x
    x = 120,217,461.70/11,701.64
  6. Step 6: Final answer
    x = 10,273.56

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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.