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Finding the Fourth Proportional to 10,283.61, 15,425.40 and 3,709.78

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Solution

The fourth proportional to 10,283.61, 15,425.40 and 3,709.78 is: 5,564.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,283.61 : 15,425.40 = 3,709.78 : x
  2. Step 2: Convert to fraction form
    10,283.61/15,425.40 = 3,709.78/x
  3. Step 3: Cross multiply
    10,283.61x = 15,425.40 × 3,709.78
  4. Step 4: Simplify right side
    10,283.61x = 57,224,902.53
  5. Step 5: Solve for x
    x = 57,224,902.53/10,283.61
  6. Step 6: Final answer
    x = 5,564.67

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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.