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Finding the Fourth Proportional to 11,322.84, 15,633.18 and 7,080.36

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Solution

The fourth proportional to 11,322.84, 15,633.18 and 7,080.36 is: 9,775.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,322.84 : 15,633.18 = 7,080.36 : x
  2. Step 2: Convert to fraction form
    11,322.84/15,633.18 = 7,080.36/x
  3. Step 3: Cross multiply
    11,322.84x = 15,633.18 × 7,080.36
  4. Step 4: Simplify right side
    11,322.84x = 110,688,542.34
  5. Step 5: Solve for x
    x = 110,688,542.34/11,322.84
  6. Step 6: Final answer
    x = 9,775.69

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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.