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Finding the Fourth Proportional to 10,497.99, 14,462.58 and 7,305.80

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Solution

The fourth proportional to 10,497.99, 14,462.58 and 7,305.80 is: 10,064.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,497.99 : 14,462.58 = 7,305.80 : x
  2. Step 2: Convert to fraction form
    10,497.99/14,462.58 = 7,305.80/x
  3. Step 3: Cross multiply
    10,497.99x = 14,462.58 × 7,305.80
  4. Step 4: Simplify right side
    10,497.99x = 105,660,716.96
  5. Step 5: Solve for x
    x = 105,660,716.96/10,497.99
  6. Step 6: Final answer
    x = 10,064.85

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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.