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Finding the Fourth Proportional to 10,584.48, 14,604.16 and 7,049.60

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Solution

The fourth proportional to 10,584.48, 14,604.16 and 7,049.60 is: 9,726.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,584.48 : 14,604.16 = 7,049.60 : x
  2. Step 2: Convert to fraction form
    10,584.48/14,604.16 = 7,049.60/x
  3. Step 3: Cross multiply
    10,584.48x = 14,604.16 × 7,049.60
  4. Step 4: Simplify right side
    10,584.48x = 102,953,486.34
  5. Step 5: Solve for x
    x = 102,953,486.34/10,584.48
  6. Step 6: Final answer
    x = 9,726.83

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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.