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Finding the Fourth Proportional to 11,292.59, 16,928.76 and 5,047.49

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Solution

The fourth proportional to 11,292.59, 16,928.76 and 5,047.49 is: 7,566.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,292.59 : 16,928.76 = 5,047.49 : x
  2. Step 2: Convert to fraction form
    11,292.59/16,928.76 = 5,047.49/x
  3. Step 3: Cross multiply
    11,292.59x = 16,928.76 × 5,047.49
  4. Step 4: Simplify right side
    11,292.59x = 85,447,746.81
  5. Step 5: Solve for x
    x = 85,447,746.81/11,292.59
  6. Step 6: Final answer
    x = 7,566.71

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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.