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Finding the Fourth Proportional to 10,669.59, 14,723.73 and 6,193.71

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Solution

The fourth proportional to 10,669.59, 14,723.73 and 6,193.71 is: 8,547.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,669.59 : 14,723.73 = 6,193.71 : x
  2. Step 2: Convert to fraction form
    10,669.59/14,723.73 = 6,193.71/x
  3. Step 3: Cross multiply
    10,669.59x = 14,723.73 × 6,193.71
  4. Step 4: Simplify right side
    10,669.59x = 91,194,513.74
  5. Step 5: Solve for x
    x = 91,194,513.74/10,669.59
  6. Step 6: Final answer
    x = 8,547.14

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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.