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Finding the Fourth Proportional to 10,624.86, 14,663.88 and 7,650.54

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Solution

The fourth proportional to 10,624.86, 14,663.88 and 7,650.54 is: 10,558.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,624.86 : 14,663.88 = 7,650.54 : x
  2. Step 2: Convert to fraction form
    10,624.86/14,663.88 = 7,650.54/x
  3. Step 3: Cross multiply
    10,624.86x = 14,663.88 × 7,650.54
  4. Step 4: Simplify right side
    10,624.86x = 112,186,600.50
  5. Step 5: Solve for x
    x = 112,186,600.50/10,624.86
  6. Step 6: Final answer
    x = 10,558.88

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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.