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Finding the Fourth Proportional to 10,428.46, 15,647.74 and 4,584.30

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Solution

The fourth proportional to 10,428.46, 15,647.74 and 4,584.30 is: 6,878.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,428.46 : 15,647.74 = 4,584.30 : x
  2. Step 2: Convert to fraction form
    10,428.46/15,647.74 = 4,584.30/x
  3. Step 3: Cross multiply
    10,428.46x = 15,647.74 × 4,584.30
  4. Step 4: Simplify right side
    10,428.46x = 71,733,934.48
  5. Step 5: Solve for x
    x = 71,733,934.48/10,428.46
  6. Step 6: Final answer
    x = 6,878.67

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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.