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Finding the Fourth Proportional to 11,434.76, 15,762.14 and 10,518.28

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Solution

The fourth proportional to 11,434.76, 15,762.14 and 10,518.28 is: 14,498.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,434.76 : 15,762.14 = 10,518.28 : x
  2. Step 2: Convert to fraction form
    11,434.76/15,762.14 = 10,518.28/x
  3. Step 3: Cross multiply
    11,434.76x = 15,762.14 × 10,518.28
  4. Step 4: Simplify right side
    11,434.76x = 165,790,601.92
  5. Step 5: Solve for x
    x = 165,790,601.92/11,434.76
  6. Step 6: Final answer
    x = 14,498.83

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.