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Finding the Fourth Proportional to 7,284, 10,047.85 and 5,047.18

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Solution

The fourth proportional to 7,284, 10,047.85 and 5,047.18 is: 6,962.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,284 : 10,047.85 = 5,047.18 : x
  2. Step 2: Convert to fraction form
    7,284/10,047.85 = 5,047.18/x
  3. Step 3: Cross multiply
    7,284x = 10,047.85 × 5,047.18
  4. Step 4: Simplify right side
    7,284x = 50,713,307.56
  5. Step 5: Solve for x
    x = 50,713,307.56/7,284
  6. Step 6: Final answer
    x = 6,962.29

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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.