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Finding the Fourth Proportional to 5,117.36, 7,633.41 and 5,032.68

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Solution

The fourth proportional to 5,117.36, 7,633.41 and 5,032.68 is: 7,507.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,117.36 : 7,633.41 = 5,032.68 : x
  2. Step 2: Convert to fraction form
    5,117.36/7,633.41 = 5,032.68/x
  3. Step 3: Cross multiply
    5,117.36x = 7,633.41 × 5,032.68
  4. Step 4: Simplify right side
    5,117.36x = 38,416,509.84
  5. Step 5: Solve for x
    x = 38,416,509.84/5,117.36
  6. Step 6: Final answer
    x = 7,507.10

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.