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Finding the Fourth Proportional to 7,465.66, 10,302.20 and 4,107.93

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Solution

The fourth proportional to 7,465.66, 10,302.20 and 4,107.93 is: 5,668.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,465.66 : 10,302.20 = 4,107.93 : x
  2. Step 2: Convert to fraction form
    7,465.66/10,302.20 = 4,107.93/x
  3. Step 3: Cross multiply
    7,465.66x = 10,302.20 × 4,107.93
  4. Step 4: Simplify right side
    7,465.66x = 42,320,716.45
  5. Step 5: Solve for x
    x = 42,320,716.45/7,465.66
  6. Step 6: Final answer
    x = 5,668.72

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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.