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Finding the Fourth Proportional to 7,969.17, 11,005.41 and 6,566.76

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Solution

The fourth proportional to 7,969.17, 11,005.41 and 6,566.76 is: 9,068.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,969.17 : 11,005.41 = 6,566.76 : x
  2. Step 2: Convert to fraction form
    7,969.17/11,005.41 = 6,566.76/x
  3. Step 3: Cross multiply
    7,969.17x = 11,005.41 × 6,566.76
  4. Step 4: Simplify right side
    7,969.17x = 72,269,886.17
  5. Step 5: Solve for x
    x = 72,269,886.17/7,969.17
  6. Step 6: Final answer
    x = 9,068.68

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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.