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Finding the Fourth Proportional to 10,616.40, 14,650.56 and 6,140.16

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Solution

The fourth proportional to 10,616.40, 14,650.56 and 6,140.16 is: 8,473.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,616.40 : 14,650.56 = 6,140.16 : x
  2. Step 2: Convert to fraction form
    10,616.40/14,650.56 = 6,140.16/x
  3. Step 3: Cross multiply
    10,616.40x = 14,650.56 × 6,140.16
  4. Step 4: Simplify right side
    10,616.40x = 89,956,782.49
  5. Step 5: Solve for x
    x = 89,956,782.49/10,616.40
  6. Step 6: Final answer
    x = 8,473.38

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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.