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Finding the Fourth Proportional to 10,357.34, 15,526.69 and 3,778.92

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Solution

The fourth proportional to 10,357.34, 15,526.69 and 3,778.92 is: 5,664.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,357.34 : 15,526.69 = 3,778.92 : x
  2. Step 2: Convert to fraction form
    10,357.34/15,526.69 = 3,778.92/x
  3. Step 3: Cross multiply
    10,357.34x = 15,526.69 × 3,778.92
  4. Step 4: Simplify right side
    10,357.34x = 58,674,109.93
  5. Step 5: Solve for x
    x = 58,674,109.93/10,357.34
  6. Step 6: Final answer
    x = 5,664.98

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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.