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Finding the Fourth Proportional to 31,262.67, 46,894.08 and 7,889.10

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Solution

The fourth proportional to 31,262.67, 46,894.08 and 7,889.10 is: 11,833.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,262.67 : 46,894.08 = 7,889.10 : x
  2. Step 2: Convert to fraction form
    31,262.67/46,894.08 = 7,889.10/x
  3. Step 3: Cross multiply
    31,262.67x = 46,894.08 × 7,889.10
  4. Step 4: Simplify right side
    31,262.67x = 369,952,086.53
  5. Step 5: Solve for x
    x = 369,952,086.53/31,262.67
  6. Step 6: Final answer
    x = 11,833.67

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.