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Finding the Fourth Proportional to 10,652.37, 14,700.92 and 5,872.29

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Solution

The fourth proportional to 10,652.37, 14,700.92 and 5,872.29 is: 8,104.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,652.37 : 14,700.92 = 5,872.29 : x
  2. Step 2: Convert to fraction form
    10,652.37/14,700.92 = 5,872.29/x
  3. Step 3: Cross multiply
    10,652.37x = 14,700.92 × 5,872.29
  4. Step 4: Simplify right side
    10,652.37x = 86,328,065.51
  5. Step 5: Solve for x
    x = 86,328,065.51/10,652.37
  6. Step 6: Final answer
    x = 8,104.12

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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.