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Finding the Fourth Proportional to 10,025.60, 13,841.68 and 6,844.24

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Solution

The fourth proportional to 10,025.60, 13,841.68 and 6,844.24 is: 9,449.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,025.60 : 13,841.68 = 6,844.24 : x
  2. Step 2: Convert to fraction form
    10,025.60/13,841.68 = 6,844.24/x
  3. Step 3: Cross multiply
    10,025.60x = 13,841.68 × 6,844.24
  4. Step 4: Simplify right side
    10,025.60x = 94,735,779.92
  5. Step 5: Solve for x
    x = 94,735,779.92/10,025.60
  6. Step 6: Final answer
    x = 9,449.39

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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.