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Finding the Fourth Proportional to 11,698.32, 16,154.46 and 7,513.86

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Solution

The fourth proportional to 11,698.32, 16,154.46 and 7,513.86 is: 10,376.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,698.32 : 16,154.46 = 7,513.86 : x
  2. Step 2: Convert to fraction form
    11,698.32/16,154.46 = 7,513.86/x
  3. Step 3: Cross multiply
    11,698.32x = 16,154.46 × 7,513.86
  4. Step 4: Simplify right side
    11,698.32x = 121,382,350.82
  5. Step 5: Solve for x
    x = 121,382,350.82/11,698.32
  6. Step 6: Final answer
    x = 10,376.05

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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.