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Finding the Fourth Proportional to 6,378.90, 8,782.02 and 5,032.05

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Solution

The fourth proportional to 6,378.90, 8,782.02 and 5,032.05 is: 6,927.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,378.90 : 8,782.02 = 5,032.05 : x
  2. Step 2: Convert to fraction form
    6,378.90/8,782.02 = 5,032.05/x
  3. Step 3: Cross multiply
    6,378.90x = 8,782.02 × 5,032.05
  4. Step 4: Simplify right side
    6,378.90x = 44,191,563.74
  5. Step 5: Solve for x
    x = 44,191,563.74/6,378.90
  6. Step 6: Final answer
    x = 6,927.77

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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.