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Finding the Fourth Proportional to 6,971.50, 10,460.84 and 4,633.12

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Solution

The fourth proportional to 6,971.50, 10,460.84 and 4,633.12 is: 6,952.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,971.50 : 10,460.84 = 4,633.12 : x
  2. Step 2: Convert to fraction form
    6,971.50/10,460.84 = 4,633.12/x
  3. Step 3: Cross multiply
    6,971.50x = 10,460.84 × 4,633.12
  4. Step 4: Simplify right side
    6,971.50x = 48,466,327.02
  5. Step 5: Solve for x
    x = 48,466,327.02/6,971.50
  6. Step 6: Final answer
    x = 6,952.07

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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.