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Finding the Fourth Proportional to 10,013.70, 13,818.60 and 6,037.14

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Solution

The fourth proportional to 10,013.70, 13,818.60 and 6,037.14 is: 8,331.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,013.70 : 13,818.60 = 6,037.14 : x
  2. Step 2: Convert to fraction form
    10,013.70/13,818.60 = 6,037.14/x
  3. Step 3: Cross multiply
    10,013.70x = 13,818.60 × 6,037.14
  4. Step 4: Simplify right side
    10,013.70x = 83,424,822.80
  5. Step 5: Solve for x
    x = 83,424,822.80/10,013.70
  6. Step 6: Final answer
    x = 8,331.07

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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.