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Finding the Fourth Proportional to 10,392.57, 14,341.16 and 6,144.03

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Solution

The fourth proportional to 10,392.57, 14,341.16 and 6,144.03 is: 8,478.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,392.57 : 14,341.16 = 6,144.03 : x
  2. Step 2: Convert to fraction form
    10,392.57/14,341.16 = 6,144.03/x
  3. Step 3: Cross multiply
    10,392.57x = 14,341.16 × 6,144.03
  4. Step 4: Simplify right side
    10,392.57x = 88,112,532.63
  5. Step 5: Solve for x
    x = 88,112,532.63/10,392.57
  6. Step 6: Final answer
    x = 8,478.42

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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.