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Finding the Fourth Proportional to 7,037.74, 9,711.75 and 4,053.66

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Solution

The fourth proportional to 7,037.74, 9,711.75 and 4,053.66 is: 5,593.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,037.74 : 9,711.75 = 4,053.66 : x
  2. Step 2: Convert to fraction form
    7,037.74/9,711.75 = 4,053.66/x
  3. Step 3: Cross multiply
    7,037.74x = 9,711.75 × 4,053.66
  4. Step 4: Simplify right side
    7,037.74x = 39,368,132.51
  5. Step 5: Solve for x
    x = 39,368,132.51/7,037.74
  6. Step 6: Final answer
    x = 5,593.86

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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.