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Finding the Fourth Proportional to 13,065.91, 18,032.52 and 7,760.74

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Solution

The fourth proportional to 13,065.91, 18,032.52 and 7,760.74 is: 10,710.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,065.91 : 18,032.52 = 7,760.74 : x
  2. Step 2: Convert to fraction form
    13,065.91/18,032.52 = 7,760.74/x
  3. Step 3: Cross multiply
    13,065.91x = 18,032.52 × 7,760.74
  4. Step 4: Simplify right side
    13,065.91x = 139,945,679.86
  5. Step 5: Solve for x
    x = 139,945,679.86/13,065.91
  6. Step 6: Final answer
    x = 10,710.75

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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.