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Finding the Fourth Proportional to 10,658.40, 15,983.36 and 3,260.40

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Solution

The fourth proportional to 10,658.40, 15,983.36 and 3,260.40 is: 4,889.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,658.40 : 15,983.36 = 3,260.40 : x
  2. Step 2: Convert to fraction form
    10,658.40/15,983.36 = 3,260.40/x
  3. Step 3: Cross multiply
    10,658.40x = 15,983.36 × 3,260.40
  4. Step 4: Simplify right side
    10,658.40x = 52,112,146.94
  5. Step 5: Solve for x
    x = 52,112,146.94/10,658.40
  6. Step 6: Final answer
    x = 4,889.30

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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.