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Finding the Fourth Proportional to 10,661.33, 14,712.69 and 6,187.74

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Solution

The fourth proportional to 10,661.33, 14,712.69 and 6,187.74 is: 8,539.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,661.33 : 14,712.69 = 6,187.74 : x
  2. Step 2: Convert to fraction form
    10,661.33/14,712.69 = 6,187.74/x
  3. Step 3: Cross multiply
    10,661.33x = 14,712.69 × 6,187.74
  4. Step 4: Simplify right side
    10,661.33x = 91,038,300.42
  5. Step 5: Solve for x
    x = 91,038,300.42/10,661.33
  6. Step 6: Final answer
    x = 8,539.12

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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.