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Finding the Fourth Proportional to 7,465.72, 10,302.28 and 4,107.99

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Solution

The fourth proportional to 7,465.72, 10,302.28 and 4,107.99 is: 5,668.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,465.72 : 10,302.28 = 4,107.99 : x
  2. Step 2: Convert to fraction form
    7,465.72/10,302.28 = 4,107.99/x
  3. Step 3: Cross multiply
    7,465.72x = 10,302.28 × 4,107.99
  4. Step 4: Simplify right side
    7,465.72x = 42,321,663.22
  5. Step 5: Solve for x
    x = 42,321,663.22/7,465.72
  6. Step 6: Final answer
    x = 5,668.80

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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.