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Finding the Fourth Proportional to 10,884.66, 15,016.52 and 7,106.62

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Solution

The fourth proportional to 10,884.66, 15,016.52 and 7,106.62 is: 9,804.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,884.66 : 15,016.52 = 7,106.62 : x
  2. Step 2: Convert to fraction form
    10,884.66/15,016.52 = 7,106.62/x
  3. Step 3: Cross multiply
    10,884.66x = 15,016.52 × 7,106.62
  4. Step 4: Simplify right side
    10,884.66x = 106,716,665.83
  5. Step 5: Solve for x
    x = 106,716,665.83/10,884.66
  6. Step 6: Final answer
    x = 9,804.32

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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.