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Finding the Fourth Proportional to 10,624.35, 14,663.12 and 6,647.79

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Solution

The fourth proportional to 10,624.35, 14,663.12 and 6,647.79 is: 9,174.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,624.35 : 14,663.12 = 6,647.79 : x
  2. Step 2: Convert to fraction form
    10,624.35/14,663.12 = 6,647.79/x
  3. Step 3: Cross multiply
    10,624.35x = 14,663.12 × 6,647.79
  4. Step 4: Simplify right side
    10,624.35x = 97,477,309.27
  5. Step 5: Solve for x
    x = 97,477,309.27/10,624.35
  6. Step 6: Final answer
    x = 9,174.90

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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.