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Finding the Fourth Proportional to 10,599.04, 14,629.32 and 6,125.38

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Solution

The fourth proportional to 10,599.04, 14,629.32 and 6,125.38 is: 8,454.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,599.04 : 14,629.32 = 6,125.38 : x
  2. Step 2: Convert to fraction form
    10,599.04/14,629.32 = 6,125.38/x
  3. Step 3: Cross multiply
    10,599.04x = 14,629.32 × 6,125.38
  4. Step 4: Simplify right side
    10,599.04x = 89,610,144.14
  5. Step 5: Solve for x
    x = 89,610,144.14/10,599.04
  6. Step 6: Final answer
    x = 8,454.55

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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.