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Finding the Fourth Proportional to 10,599.16, 14,631.66 and 6,824.12

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Solution

The fourth proportional to 10,599.16, 14,631.66 and 6,824.12 is: 9,420.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,599.16 : 14,631.66 = 6,824.12 : x
  2. Step 2: Convert to fraction form
    10,599.16/14,631.66 = 6,824.12/x
  3. Step 3: Cross multiply
    10,599.16x = 14,631.66 × 6,824.12
  4. Step 4: Simplify right side
    10,599.16x = 99,848,203.64
  5. Step 5: Solve for x
    x = 99,848,203.64/10,599.16
  6. Step 6: Final answer
    x = 9,420.39

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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.