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Finding the Fourth Proportional to 10,509.54, 15,762.88 and 3,112.62

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Solution

The fourth proportional to 10,509.54, 15,762.88 and 3,112.62 is: 4,668.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,509.54 : 15,762.88 = 3,112.62 : x
  2. Step 2: Convert to fraction form
    10,509.54/15,762.88 = 3,112.62/x
  3. Step 3: Cross multiply
    10,509.54x = 15,762.88 × 3,112.62
  4. Step 4: Simplify right side
    10,509.54x = 49,063,855.55
  5. Step 5: Solve for x
    x = 49,063,855.55/10,509.54
  6. Step 6: Final answer
    x = 4,668.51

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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.