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Finding the Fourth Proportional to 10,479.90, 14,462.10 and 5,764.17

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Solution

The fourth proportional to 10,479.90, 14,462.10 and 5,764.17 is: 7,954.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,479.90 : 14,462.10 = 5,764.17 : x
  2. Step 2: Convert to fraction form
    10,479.90/14,462.10 = 5,764.17/x
  3. Step 3: Cross multiply
    10,479.90x = 14,462.10 × 5,764.17
  4. Step 4: Simplify right side
    10,479.90x = 83,362,002.96
  5. Step 5: Solve for x
    x = 83,362,002.96/10,479.90
  6. Step 6: Final answer
    x = 7,954.47

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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.