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Finding the Fourth Proportional to 7,548.76, 10,417.73 and 4,191.94

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Solution

The fourth proportional to 7,548.76, 10,417.73 and 4,191.94 is: 5,785.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,548.76 : 10,417.73 = 4,191.94 : x
  2. Step 2: Convert to fraction form
    7,548.76/10,417.73 = 4,191.94/x
  3. Step 3: Cross multiply
    7,548.76x = 10,417.73 × 4,191.94
  4. Step 4: Simplify right side
    7,548.76x = 43,670,499.10
  5. Step 5: Solve for x
    x = 43,670,499.10/7,548.76
  6. Step 6: Final answer
    x = 5,785.12

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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.