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Finding the Fourth Proportional to 6,285.24, 8,678.88 and 5,242.77

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Solution

The fourth proportional to 6,285.24, 8,678.88 and 5,242.77 is: 7,239.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,285.24 : 8,678.88 = 5,242.77 : x
  2. Step 2: Convert to fraction form
    6,285.24/8,678.88 = 5,242.77/x
  3. Step 3: Cross multiply
    6,285.24x = 8,678.88 × 5,242.77
  4. Step 4: Simplify right side
    6,285.24x = 45,501,371.70
  5. Step 5: Solve for x
    x = 45,501,371.70/6,285.24
  6. Step 6: Final answer
    x = 7,239.40

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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.