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Finding the Fourth Proportional to 10,699.69, 14,767.60 and 7,169.04

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Solution

The fourth proportional to 10,699.69, 14,767.60 and 7,169.04 is: 9,894.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,699.69 : 14,767.60 = 7,169.04 : x
  2. Step 2: Convert to fraction form
    10,699.69/14,767.60 = 7,169.04/x
  3. Step 3: Cross multiply
    10,699.69x = 14,767.60 × 7,169.04
  4. Step 4: Simplify right side
    10,699.69x = 105,869,441.27
  5. Step 5: Solve for x
    x = 105,869,441.27/10,699.69
  6. Step 6: Final answer
    x = 9,894.63

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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.