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Finding the Fourth Proportional to 11,698.32, 17,547.48 and 3,907.74

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Solution

The fourth proportional to 11,698.32, 17,547.48 and 3,907.74 is: 5,861.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,698.32 : 17,547.48 = 3,907.74 : x
  2. Step 2: Convert to fraction form
    11,698.32/17,547.48 = 3,907.74/x
  3. Step 3: Cross multiply
    11,698.32x = 17,547.48 × 3,907.74
  4. Step 4: Simplify right side
    11,698.32x = 68,570,989.50
  5. Step 5: Solve for x
    x = 68,570,989.50/11,698.32
  6. Step 6: Final answer
    x = 5,861.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.