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Finding the Fourth Proportional to 10,624.75, 14,665.80 and 6,433

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Solution

The fourth proportional to 10,624.75, 14,665.80 and 6,433 is: 8,879.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,624.75 : 14,665.80 = 6,433 : x
  2. Step 2: Convert to fraction form
    10,624.75/14,665.80 = 6,433/x
  3. Step 3: Cross multiply
    10,624.75x = 14,665.80 × 6,433
  4. Step 4: Simplify right side
    10,624.75x = 94,345,091.40
  5. Step 5: Solve for x
    x = 94,345,091.40/10,624.75
  6. Step 6: Final answer
    x = 8,879.75

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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.