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Finding the Fourth Proportional to 10,971.16, 16,418.46 and 8,973.70

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Solution

The fourth proportional to 10,971.16, 16,418.46 and 8,973.70 is: 13,429.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,971.16 : 16,418.46 = 8,973.70 : x
  2. Step 2: Convert to fraction form
    10,971.16/16,418.46 = 8,973.70/x
  3. Step 3: Cross multiply
    10,971.16x = 16,418.46 × 8,973.70
  4. Step 4: Simplify right side
    10,971.16x = 147,334,334.50
  5. Step 5: Solve for x
    x = 147,334,334.50/10,971.16
  6. Step 6: Final answer
    x = 13,429.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.