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Finding the Fourth Proportional to 10,478.62, 15,723.04 and 4,932.51

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Solution

The fourth proportional to 10,478.62, 15,723.04 and 4,932.51 is: 7,401.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,478.62 : 15,723.04 = 4,932.51 : x
  2. Step 2: Convert to fraction form
    10,478.62/15,723.04 = 4,932.51/x
  3. Step 3: Cross multiply
    10,478.62x = 15,723.04 × 4,932.51
  4. Step 4: Simplify right side
    10,478.62x = 77,554,052.03
  5. Step 5: Solve for x
    x = 77,554,052.03/10,478.62
  6. Step 6: Final answer
    x = 7,401.17

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.