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Finding the Fourth Proportional to 7,468.14, 10,302.27 and 4,637.19

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Solution

The fourth proportional to 7,468.14, 10,302.27 and 4,637.19 is: 6,396.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,468.14 : 10,302.27 = 4,637.19 : x
  2. Step 2: Convert to fraction form
    7,468.14/10,302.27 = 4,637.19/x
  3. Step 3: Cross multiply
    7,468.14x = 10,302.27 × 4,637.19
  4. Step 4: Simplify right side
    7,468.14x = 47,773,604.67
  5. Step 5: Solve for x
    x = 47,773,604.67/7,468.14
  6. Step 6: Final answer
    x = 6,396.99

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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.