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Finding the Fourth Proportional to 7,032.57, 9,701.29 and 5,116.23

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Solution

The fourth proportional to 7,032.57, 9,701.29 and 5,116.23 is: 7,057.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,032.57 : 9,701.29 = 5,116.23 : x
  2. Step 2: Convert to fraction form
    7,032.57/9,701.29 = 5,116.23/x
  3. Step 3: Cross multiply
    7,032.57x = 9,701.29 × 5,116.23
  4. Step 4: Simplify right side
    7,032.57x = 49,634,037.33
  5. Step 5: Solve for x
    x = 49,634,037.33/7,032.57
  6. Step 6: Final answer
    x = 7,057.74

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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.