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Finding the Fourth Proportional to 7,113.86, 10,674.65 and 2,956.74

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Solution

The fourth proportional to 7,113.86, 10,674.65 and 2,956.74 is: 4,436.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,113.86 : 10,674.65 = 2,956.74 : x
  2. Step 2: Convert to fraction form
    7,113.86/10,674.65 = 2,956.74/x
  3. Step 3: Cross multiply
    7,113.86x = 10,674.65 × 2,956.74
  4. Step 4: Simplify right side
    7,113.86x = 31,562,192.05
  5. Step 5: Solve for x
    x = 31,562,192.05/7,113.86
  6. Step 6: Final answer
    x = 4,436.72

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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.