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Finding the Fourth Proportional to 7,553.96, 10,423.74 and 4,196

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Solution

The fourth proportional to 7,553.96, 10,423.74 and 4,196 is: 5,790.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,553.96 : 10,423.74 = 4,196 : x
  2. Step 2: Convert to fraction form
    7,553.96/10,423.74 = 4,196/x
  3. Step 3: Cross multiply
    7,553.96x = 10,423.74 × 4,196
  4. Step 4: Simplify right side
    7,553.96x = 43,738,013.04
  5. Step 5: Solve for x
    x = 43,738,013.04/7,553.96
  6. Step 6: Final answer
    x = 5,790.08

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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.