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Finding the Fourth Proportional to 10,037.67, 13,852.00 and 6,058.78

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Solution

The fourth proportional to 10,037.67, 13,852.00 and 6,058.78 is: 8,361.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,037.67 : 13,852.00 = 6,058.78 : x
  2. Step 2: Convert to fraction form
    10,037.67/13,852.00 = 6,058.78/x
  3. Step 3: Cross multiply
    10,037.67x = 13,852.00 × 6,058.78
  4. Step 4: Simplify right side
    10,037.67x = 83,926,237.34
  5. Step 5: Solve for x
    x = 83,926,237.34/10,037.67
  6. Step 6: Final answer
    x = 8,361.13

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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.