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Finding the Fourth Proportional to 10,024.94, 13,839.90 and 6,047

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Solution

The fourth proportional to 10,024.94, 13,839.90 and 6,047 is: 8,348.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,024.94 : 13,839.90 = 6,047 : x
  2. Step 2: Convert to fraction form
    10,024.94/13,839.90 = 6,047/x
  3. Step 3: Cross multiply
    10,024.94x = 13,839.90 × 6,047
  4. Step 4: Simplify right side
    10,024.94x = 83,689,875.30
  5. Step 5: Solve for x
    x = 83,689,875.30/10,024.94
  6. Step 6: Final answer
    x = 8,348.17

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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.