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Finding the Fourth Proportional to 10,746.76, 16,120.15 and 4,509.71

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Solution

The fourth proportional to 10,746.76, 16,120.15 and 4,509.71 is: 6,764.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,746.76 : 16,120.15 = 4,509.71 : x
  2. Step 2: Convert to fraction form
    10,746.76/16,120.15 = 4,509.71/x
  3. Step 3: Cross multiply
    10,746.76x = 16,120.15 × 4,509.71
  4. Step 4: Simplify right side
    10,746.76x = 72,697,201.66
  5. Step 5: Solve for x
    x = 72,697,201.66/10,746.76
  6. Step 6: Final answer
    x = 6,764.57

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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.