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Finding the Fourth Proportional to 11,358.36, 15,678.36 and 7,775.46

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Solution

The fourth proportional to 11,358.36, 15,678.36 and 7,775.46 is: 10,732.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,358.36 : 15,678.36 = 7,775.46 : x
  2. Step 2: Convert to fraction form
    11,358.36/15,678.36 = 7,775.46/x
  3. Step 3: Cross multiply
    11,358.36x = 15,678.36 × 7,775.46
  4. Step 4: Simplify right side
    11,358.36x = 121,906,461.05
  5. Step 5: Solve for x
    x = 121,906,461.05/11,358.36
  6. Step 6: Final answer
    x = 10,732.75

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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.