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Finding the Fourth Proportional to 10,490.97, 14,477.58 and 6,014.82

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Solution

The fourth proportional to 10,490.97, 14,477.58 and 6,014.82 is: 8,300.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,490.97 : 14,477.58 = 6,014.82 : x
  2. Step 2: Convert to fraction form
    10,490.97/14,477.58 = 6,014.82/x
  3. Step 3: Cross multiply
    10,490.97x = 14,477.58 × 6,014.82
  4. Step 4: Simplify right side
    10,490.97x = 87,080,037.74
  5. Step 5: Solve for x
    x = 87,080,037.74/10,490.97
  6. Step 6: Final answer
    x = 8,300.48

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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.