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Finding the Fourth Proportional to 7,461.03, 10,296.47 and 4,103.99

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Solution

The fourth proportional to 7,461.03, 10,296.47 and 4,103.99 is: 5,663.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,461.03 : 10,296.47 = 4,103.99 : x
  2. Step 2: Convert to fraction form
    7,461.03/10,296.47 = 4,103.99/x
  3. Step 3: Cross multiply
    7,461.03x = 10,296.47 × 4,103.99
  4. Step 4: Simplify right side
    7,461.03x = 42,256,568.69
  5. Step 5: Solve for x
    x = 42,256,568.69/7,461.03
  6. Step 6: Final answer
    x = 5,663.64

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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.