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Finding the Fourth Proportional to 10,524.71, 14,522.36 and 6,047.51

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Solution

The fourth proportional to 10,524.71, 14,522.36 and 6,047.51 is: 8,344.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,524.71 : 14,522.36 = 6,047.51 : x
  2. Step 2: Convert to fraction form
    10,524.71/14,522.36 = 6,047.51/x
  3. Step 3: Cross multiply
    10,524.71x = 14,522.36 × 6,047.51
  4. Step 4: Simplify right side
    10,524.71x = 87,824,147.19
  5. Step 5: Solve for x
    x = 87,824,147.19/10,524.71
  6. Step 6: Final answer
    x = 8,344.57

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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.