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Finding the Fourth Proportional to 10,434.20, 15,636.64 and 7,498.76

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Solution

The fourth proportional to 10,434.20, 15,636.64 and 7,498.76 is: 11,237.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,434.20 : 15,636.64 = 7,498.76 : x
  2. Step 2: Convert to fraction form
    10,434.20/15,636.64 = 7,498.76/x
  3. Step 3: Cross multiply
    10,434.20x = 15,636.64 × 7,498.76
  4. Step 4: Simplify right side
    10,434.20x = 117,255,410.57
  5. Step 5: Solve for x
    x = 117,255,410.57/10,434.20
  6. Step 6: Final answer
    x = 11,237.60

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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.