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Finding the Fourth Proportional to 10,037.41, 13,852.14 and 6,058.47

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Solution

The fourth proportional to 10,037.41, 13,852.14 and 6,058.47 is: 8,361.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,037.41 : 13,852.14 = 6,058.47 : x
  2. Step 2: Convert to fraction form
    10,037.41/13,852.14 = 6,058.47/x
  3. Step 3: Cross multiply
    10,037.41x = 13,852.14 × 6,058.47
  4. Step 4: Simplify right side
    10,037.41x = 83,922,774.63
  5. Step 5: Solve for x
    x = 83,922,774.63/10,037.41
  6. Step 6: Final answer
    x = 8,361.00

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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.