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Finding the Fourth Proportional to 10,603.28, 14,618.76 and 7,063.76

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Solution

The fourth proportional to 10,603.28, 14,618.76 and 7,063.76 is: 9,738.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,603.28 : 14,618.76 = 7,063.76 : x
  2. Step 2: Convert to fraction form
    10,603.28/14,618.76 = 7,063.76/x
  3. Step 3: Cross multiply
    10,603.28x = 14,618.76 × 7,063.76
  4. Step 4: Simplify right side
    10,603.28x = 103,263,412.14
  5. Step 5: Solve for x
    x = 103,263,412.14/10,603.28
  6. Step 6: Final answer
    x = 9,738.82

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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.