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Finding the Fourth Proportional to 10,522.12, 15,783.18 and 3,596.68

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Solution

The fourth proportional to 10,522.12, 15,783.18 and 3,596.68 is: 5,395.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,522.12 : 15,783.18 = 3,596.68 : x
  2. Step 2: Convert to fraction form
    10,522.12/15,783.18 = 3,596.68/x
  3. Step 3: Cross multiply
    10,522.12x = 15,783.18 × 3,596.68
  4. Step 4: Simplify right side
    10,522.12x = 56,767,047.84
  5. Step 5: Solve for x
    x = 56,767,047.84/10,522.12
  6. Step 6: Final answer
    x = 5,395.02

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.