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Finding the Fourth Proportional to 10,710.34, 14,772.64 and 6,518.86

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Solution

The fourth proportional to 10,710.34, 14,772.64 and 6,518.86 is: 8,991.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,710.34 : 14,772.64 = 6,518.86 : x
  2. Step 2: Convert to fraction form
    10,710.34/14,772.64 = 6,518.86/x
  3. Step 3: Cross multiply
    10,710.34x = 14,772.64 × 6,518.86
  4. Step 4: Simplify right side
    10,710.34x = 96,300,771.99
  5. Step 5: Solve for x
    x = 96,300,771.99/10,710.34
  6. Step 6: Final answer
    x = 8,991.38

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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.