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Finding the Fourth Proportional to 7,803, 11,705.49 and 2,876.08

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Solution

The fourth proportional to 7,803, 11,705.49 and 2,876.08 is: 4,314.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,803 : 11,705.49 = 2,876.08 : x
  2. Step 2: Convert to fraction form
    7,803/11,705.49 = 2,876.08/x
  3. Step 3: Cross multiply
    7,803x = 11,705.49 × 2,876.08
  4. Step 4: Simplify right side
    7,803x = 33,665,925.68
  5. Step 5: Solve for x
    x = 33,665,925.68/7,803
  6. Step 6: Final answer
    x = 4,314.48

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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.