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Finding the Fourth Proportional to 10,188.74, 14,061.33 and 5,652.54

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Solution

The fourth proportional to 10,188.74, 14,061.33 and 5,652.54 is: 7,800.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,188.74 : 14,061.33 = 5,652.54 : x
  2. Step 2: Convert to fraction form
    10,188.74/14,061.33 = 5,652.54/x
  3. Step 3: Cross multiply
    10,188.74x = 14,061.33 × 5,652.54
  4. Step 4: Simplify right side
    10,188.74x = 79,482,230.28
  5. Step 5: Solve for x
    x = 79,482,230.28/10,188.74
  6. Step 6: Final answer
    x = 7,800.99

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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.