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Finding the Fourth Proportional to 7,165.86, 10,746.23 and 2,947.88

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Solution

The fourth proportional to 7,165.86, 10,746.23 and 2,947.88 is: 4,420.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,165.86 : 10,746.23 = 2,947.88 : x
  2. Step 2: Convert to fraction form
    7,165.86/10,746.23 = 2,947.88/x
  3. Step 3: Cross multiply
    7,165.86x = 10,746.23 × 2,947.88
  4. Step 4: Simplify right side
    7,165.86x = 31,678,613.34
  5. Step 5: Solve for x
    x = 31,678,613.34/7,165.86
  6. Step 6: Final answer
    x = 4,420.77

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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.