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Finding the Fourth Proportional to 7,111.86, 10,670.86 and 3,821.10

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Solution

The fourth proportional to 7,111.86, 10,670.86 and 3,821.10 is: 5,733.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,111.86 : 10,670.86 = 3,821.10 : x
  2. Step 2: Convert to fraction form
    7,111.86/10,670.86 = 3,821.10/x
  3. Step 3: Cross multiply
    7,111.86x = 10,670.86 × 3,821.10
  4. Step 4: Simplify right side
    7,111.86x = 40,774,423.15
  5. Step 5: Solve for x
    x = 40,774,423.15/7,111.86
  6. Step 6: Final answer
    x = 5,733.30

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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.