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Finding the Fourth Proportional to 10,152.96, 14,009.34 and 5,962.08

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Solution

The fourth proportional to 10,152.96, 14,009.34 and 5,962.08 is: 8,226.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,152.96 : 14,009.34 = 5,962.08 : x
  2. Step 2: Convert to fraction form
    10,152.96/14,009.34 = 5,962.08/x
  3. Step 3: Cross multiply
    10,152.96x = 14,009.34 × 5,962.08
  4. Step 4: Simplify right side
    10,152.96x = 83,524,805.83
  5. Step 5: Solve for x
    x = 83,524,805.83/10,152.96
  6. Step 6: Final answer
    x = 8,226.65

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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.