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Finding the Fourth Proportional to 10,480.42, 14,462.33 and 6,003.14

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Solution

The fourth proportional to 10,480.42, 14,462.33 and 6,003.14 is: 8,283.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,480.42 : 14,462.33 = 6,003.14 : x
  2. Step 2: Convert to fraction form
    10,480.42/14,462.33 = 6,003.14/x
  3. Step 3: Cross multiply
    10,480.42x = 14,462.33 × 6,003.14
  4. Step 4: Simplify right side
    10,480.42x = 86,819,376.71
  5. Step 5: Solve for x
    x = 86,819,376.71/10,480.42
  6. Step 6: Final answer
    x = 8,283.96

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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.