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Finding the Fourth Proportional to 11,655.28, 16,090.36 and 9,097.54

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Solution

The fourth proportional to 11,655.28, 16,090.36 and 9,097.54 is: 12,559.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,655.28 : 16,090.36 = 9,097.54 : x
  2. Step 2: Convert to fraction form
    11,655.28/16,090.36 = 9,097.54/x
  3. Step 3: Cross multiply
    11,655.28x = 16,090.36 × 9,097.54
  4. Step 4: Simplify right side
    11,655.28x = 146,382,727.17
  5. Step 5: Solve for x
    x = 146,382,727.17/11,655.28
  6. Step 6: Final answer
    x = 12,559.35

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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.