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Finding the Fourth Proportional to 10,362.32, 14,300 and 6,113.44

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Solution

The fourth proportional to 10,362.32, 14,300 and 6,113.44 is: 8,436.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,362.32 : 14,300 = 6,113.44 : x
  2. Step 2: Convert to fraction form
    10,362.32/14,300 = 6,113.44/x
  3. Step 3: Cross multiply
    10,362.32x = 14,300 × 6,113.44
  4. Step 4: Simplify right side
    10,362.32x = 87,422,192
  5. Step 5: Solve for x
    x = 87,422,192/10,362.32
  6. Step 6: Final answer
    x = 8,436.55

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