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Finding the Fourth Proportional to 6,945.26, 10,423.02 and 5,101.16

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Solution

The fourth proportional to 6,945.26, 10,423.02 and 5,101.16 is: 7,655.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,945.26 : 10,423.02 = 5,101.16 : x
  2. Step 2: Convert to fraction form
    6,945.26/10,423.02 = 5,101.16/x
  3. Step 3: Cross multiply
    6,945.26x = 10,423.02 × 5,101.16
  4. Step 4: Simplify right side
    6,945.26x = 53,169,492.70
  5. Step 5: Solve for x
    x = 53,169,492.70/6,945.26
  6. Step 6: Final answer
    x = 7,655.51

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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.