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Finding the Fourth Proportional to 11,776.69, 16,251.07 and 6,740.95

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Solution

The fourth proportional to 11,776.69, 16,251.07 and 6,740.95 is: 9,302.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,776.69 : 16,251.07 = 6,740.95 : x
  2. Step 2: Convert to fraction form
    11,776.69/16,251.07 = 6,740.95/x
  3. Step 3: Cross multiply
    11,776.69x = 16,251.07 × 6,740.95
  4. Step 4: Simplify right side
    11,776.69x = 109,547,699.37
  5. Step 5: Solve for x
    x = 109,547,699.37/11,776.69
  6. Step 6: Final answer
    x = 9,302.08

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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.