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Finding the Fourth Proportional to 10,623.75, 14,664.42 and 6,432

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Solution

The fourth proportional to 10,623.75, 14,664.42 and 6,432 is: 8,878.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,623.75 : 14,664.42 = 6,432 : x
  2. Step 2: Convert to fraction form
    10,623.75/14,664.42 = 6,432/x
  3. Step 3: Cross multiply
    10,623.75x = 14,664.42 × 6,432
  4. Step 4: Simplify right side
    10,623.75x = 94,321,549.44
  5. Step 5: Solve for x
    x = 94,321,549.44/10,623.75
  6. Step 6: Final answer
    x = 8,878.37

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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.