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Finding the Fourth Proportional to 10,037.36, 13,849.88 and 6,453.11

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Solution

The fourth proportional to 10,037.36, 13,849.88 and 6,453.11 is: 8,904.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,037.36 : 13,849.88 = 6,453.11 : x
  2. Step 2: Convert to fraction form
    10,037.36/13,849.88 = 6,453.11/x
  3. Step 3: Cross multiply
    10,037.36x = 13,849.88 × 6,453.11
  4. Step 4: Simplify right side
    10,037.36x = 89,374,697.61
  5. Step 5: Solve for x
    x = 89,374,697.61/10,037.36
  6. Step 6: Final answer
    x = 8,904.21

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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.