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Finding the Fourth Proportional to 10,111.76, 15,164.58 and 3,356

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Solution

The fourth proportional to 10,111.76, 15,164.58 and 3,356 is: 5,032.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,111.76 : 15,164.58 = 3,356 : x
  2. Step 2: Convert to fraction form
    10,111.76/15,164.58 = 3,356/x
  3. Step 3: Cross multiply
    10,111.76x = 15,164.58 × 3,356
  4. Step 4: Simplify right side
    10,111.76x = 50,892,330.48
  5. Step 5: Solve for x
    x = 50,892,330.48/10,111.76
  6. Step 6: Final answer
    x = 5,032.98

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