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Finding the Fourth Proportional to 11,461.32, 15,817.20 and 6,985.32

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Solution

The fourth proportional to 11,461.32, 15,817.20 and 6,985.32 is: 9,640.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,461.32 : 15,817.20 = 6,985.32 : x
  2. Step 2: Convert to fraction form
    11,461.32/15,817.20 = 6,985.32/x
  3. Step 3: Cross multiply
    11,461.32x = 15,817.20 × 6,985.32
  4. Step 4: Simplify right side
    11,461.32x = 110,488,203.50
  5. Step 5: Solve for x
    x = 110,488,203.50/11,461.32
  6. Step 6: Final answer
    x = 9,640.09

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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.