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Finding the Fourth Proportional to 10,383.10, 15,526.05 and 7,758.70

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Solution

The fourth proportional to 10,383.10, 15,526.05 and 7,758.70 is: 11,601.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,383.10 : 15,526.05 = 7,758.70 : x
  2. Step 2: Convert to fraction form
    10,383.10/15,526.05 = 7,758.70/x
  3. Step 3: Cross multiply
    10,383.10x = 15,526.05 × 7,758.70
  4. Step 4: Simplify right side
    10,383.10x = 120,461,964.14
  5. Step 5: Solve for x
    x = 120,461,964.14/10,383.10
  6. Step 6: Final answer
    x = 11,601.73

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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.