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Finding the Fourth Proportional to 10,466.35, 14,445.87 and 8,193.17

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Solution

The fourth proportional to 10,466.35, 14,445.87 and 8,193.17 is: 11,308.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,466.35 : 14,445.87 = 8,193.17 : x
  2. Step 2: Convert to fraction form
    10,466.35/14,445.87 = 8,193.17/x
  3. Step 3: Cross multiply
    10,466.35x = 14,445.87 × 8,193.17
  4. Step 4: Simplify right side
    10,466.35x = 118,357,468.71
  5. Step 5: Solve for x
    x = 118,357,468.71/10,466.35
  6. Step 6: Final answer
    x = 11,308.38

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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.