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Finding the Fourth Proportional to 10,584.14, 14,605.44 and 5,803.88

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Solution

The fourth proportional to 10,584.14, 14,605.44 and 5,803.88 is: 8,008.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,584.14 : 14,605.44 = 5,803.88 : x
  2. Step 2: Convert to fraction form
    10,584.14/14,605.44 = 5,803.88/x
  3. Step 3: Cross multiply
    10,584.14x = 14,605.44 × 5,803.88
  4. Step 4: Simplify right side
    10,584.14x = 84,768,221.11
  5. Step 5: Solve for x
    x = 84,768,221.11/10,584.14
  6. Step 6: Final answer
    x = 8,008.99

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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.