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Finding the Fourth Proportional to 7,106.36, 10,663.14 and 4,793

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Solution

The fourth proportional to 7,106.36, 10,663.14 and 4,793 is: 7,191.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,106.36 : 10,663.14 = 4,793 : x
  2. Step 2: Convert to fraction form
    7,106.36/10,663.14 = 4,793/x
  3. Step 3: Cross multiply
    7,106.36x = 10,663.14 × 4,793
  4. Step 4: Simplify right side
    7,106.36x = 51,108,430.02
  5. Step 5: Solve for x
    x = 51,108,430.02/7,106.36
  6. Step 6: Final answer
    x = 7,191.93

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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.