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Finding the Fourth Proportional to 7,881.03, 11,821.76 and 2,037.63

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Solution

The fourth proportional to 7,881.03, 11,821.76 and 2,037.63 is: 3,056.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,881.03 : 11,821.76 = 2,037.63 : x
  2. Step 2: Convert to fraction form
    7,881.03/11,821.76 = 2,037.63/x
  3. Step 3: Cross multiply
    7,881.03x = 11,821.76 × 2,037.63
  4. Step 4: Simplify right side
    7,881.03x = 24,088,303.53
  5. Step 5: Solve for x
    x = 24,088,303.53/7,881.03
  6. Step 6: Final answer
    x = 3,056.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.