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Finding the Fourth Proportional to 8,574, 11,832.30 and 4,848

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Solution

The fourth proportional to 8,574, 11,832.30 and 4,848 is: 6,690.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,574 : 11,832.30 = 4,848 : x
  2. Step 2: Convert to fraction form
    8,574/11,832.30 = 4,848/x
  3. Step 3: Cross multiply
    8,574x = 11,832.30 × 4,848
  4. Step 4: Simplify right side
    8,574x = 57,362,990.40
  5. Step 5: Solve for x
    x = 57,362,990.40/8,574
  6. Step 6: Final answer
    x = 6,690.34

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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.