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Finding the Fourth Proportional to 10,601.28, 14,616 and 7,061.76

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Solution

The fourth proportional to 10,601.28, 14,616 and 7,061.76 is: 9,736.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,601.28 : 14,616 = 7,061.76 : x
  2. Step 2: Convert to fraction form
    10,601.28/14,616 = 7,061.76/x
  3. Step 3: Cross multiply
    10,601.28x = 14,616 × 7,061.76
  4. Step 4: Simplify right side
    10,601.28x = 103,214,684.16
  5. Step 5: Solve for x
    x = 103,214,684.16/10,601.28
  6. Step 6: Final answer
    x = 9,736.06

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.