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Finding the Fourth Proportional to 10,497.94, 14,486.69 and 6,018.48

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Solution

The fourth proportional to 10,497.94, 14,486.69 and 6,018.48 is: 8,305.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,497.94 : 14,486.69 = 6,018.48 : x
  2. Step 2: Convert to fraction form
    10,497.94/14,486.69 = 6,018.48/x
  3. Step 3: Cross multiply
    10,497.94x = 14,486.69 × 6,018.48
  4. Step 4: Simplify right side
    10,497.94x = 87,187,854.03
  5. Step 5: Solve for x
    x = 87,187,854.03/10,497.94
  6. Step 6: Final answer
    x = 8,305.23

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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.