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Finding the Fourth Proportional to 7,833.64, 10,810.74 and 4,477

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Solution

The fourth proportional to 7,833.64, 10,810.74 and 4,477 is: 6,178.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,833.64 : 10,810.74 = 4,477 : x
  2. Step 2: Convert to fraction form
    7,833.64/10,810.74 = 4,477/x
  3. Step 3: Cross multiply
    7,833.64x = 10,810.74 × 4,477
  4. Step 4: Simplify right side
    7,833.64x = 48,399,682.98
  5. Step 5: Solve for x
    x = 48,399,682.98/7,833.64
  6. Step 6: Final answer
    x = 6,178.44

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.