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Finding the Fourth Proportional to 10,100.64, 15,157.88 and 3,526.83

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Solution

The fourth proportional to 10,100.64, 15,157.88 and 3,526.83 is: 5,292.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,100.64 : 15,157.88 = 3,526.83 : x
  2. Step 2: Convert to fraction form
    10,100.64/15,157.88 = 3,526.83/x
  3. Step 3: Cross multiply
    10,100.64x = 15,157.88 × 3,526.83
  4. Step 4: Simplify right side
    10,100.64x = 53,459,265.92
  5. Step 5: Solve for x
    x = 53,459,265.92/10,100.64
  6. Step 6: Final answer
    x = 5,292.66

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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.