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Finding the Fourth Proportional to 11,308.63, 15,594.80 and 10,414.69

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Solution

The fourth proportional to 11,308.63, 15,594.80 and 10,414.69 is: 14,362.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,308.63 : 15,594.80 = 10,414.69 : x
  2. Step 2: Convert to fraction form
    11,308.63/15,594.80 = 10,414.69/x
  3. Step 3: Cross multiply
    11,308.63x = 15,594.80 × 10,414.69
  4. Step 4: Simplify right side
    11,308.63x = 162,415,007.61
  5. Step 5: Solve for x
    x = 162,415,007.61/11,308.63
  6. Step 6: Final answer
    x = 14,362.04

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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.