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Finding the Fourth Proportional to 11,580.96, 15,981.93 and 6,276

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Solution

The fourth proportional to 11,580.96, 15,981.93 and 6,276 is: 8,660.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,580.96 : 15,981.93 = 6,276 : x
  2. Step 2: Convert to fraction form
    11,580.96/15,981.93 = 6,276/x
  3. Step 3: Cross multiply
    11,580.96x = 15,981.93 × 6,276
  4. Step 4: Simplify right side
    11,580.96x = 100,302,592.68
  5. Step 5: Solve for x
    x = 100,302,592.68/11,580.96
  6. Step 6: Final answer
    x = 8,660.99

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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.