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Finding the Fourth Proportional to 10,971.60, 15,142.64 and 8,631.60

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Solution

The fourth proportional to 10,971.60, 15,142.64 and 8,631.60 is: 11,913.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,971.60 : 15,142.64 = 8,631.60 : x
  2. Step 2: Convert to fraction form
    10,971.60/15,142.64 = 8,631.60/x
  3. Step 3: Cross multiply
    10,971.60x = 15,142.64 × 8,631.60
  4. Step 4: Simplify right side
    10,971.60x = 130,705,211.42
  5. Step 5: Solve for x
    x = 130,705,211.42/10,971.60
  6. Step 6: Final answer
    x = 11,913.05

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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.