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Finding the Fourth Proportional to 10,697.54, 14,762.29 and 5,917.67

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Solution

The fourth proportional to 10,697.54, 14,762.29 and 5,917.67 is: 8,166.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,697.54 : 14,762.29 = 5,917.67 : x
  2. Step 2: Convert to fraction form
    10,697.54/14,762.29 = 5,917.67/x
  3. Step 3: Cross multiply
    10,697.54x = 14,762.29 × 5,917.67
  4. Step 4: Simplify right side
    10,697.54x = 87,358,345.87
  5. Step 5: Solve for x
    x = 87,358,345.87/10,697.54
  6. Step 6: Final answer
    x = 8,166.21

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Why These Related Problems?

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