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Finding the Fourth Proportional to 11,374.32, 15,692.40 and 6,894.84

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Solution

The fourth proportional to 11,374.32, 15,692.40 and 6,894.84 is: 9,512.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,374.32 : 15,692.40 = 6,894.84 : x
  2. Step 2: Convert to fraction form
    11,374.32/15,692.40 = 6,894.84/x
  3. Step 3: Cross multiply
    11,374.32x = 15,692.40 × 6,894.84
  4. Step 4: Simplify right side
    11,374.32x = 108,196,587.22
  5. Step 5: Solve for x
    x = 108,196,587.22/11,374.32
  6. Step 6: Final answer
    x = 9,512.36

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.