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Finding the Fourth Proportional to 10,615.58, 15,922.56 and 4,374

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Solution

The fourth proportional to 10,615.58, 15,922.56 and 4,374 is: 6,560.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,615.58 : 15,922.56 = 4,374 : x
  2. Step 2: Convert to fraction form
    10,615.58/15,922.56 = 4,374/x
  3. Step 3: Cross multiply
    10,615.58x = 15,922.56 × 4,374
  4. Step 4: Simplify right side
    10,615.58x = 69,645,277.44
  5. Step 5: Solve for x
    x = 69,645,277.44/10,615.58
  6. Step 6: Final answer
    x = 6,560.67

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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.