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Finding the Fourth Proportional to 8,920.24, 13,381.44 and 4,300

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Solution

The fourth proportional to 8,920.24, 13,381.44 and 4,300 is: 6,450.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,920.24 : 13,381.44 = 4,300 : x
  2. Step 2: Convert to fraction form
    8,920.24/13,381.44 = 4,300/x
  3. Step 3: Cross multiply
    8,920.24x = 13,381.44 × 4,300
  4. Step 4: Simplify right side
    8,920.24x = 57,540,192
  5. Step 5: Solve for x
    x = 57,540,192/8,920.24
  6. Step 6: Final answer
    x = 6,450.52

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.