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Finding the Fourth Proportional to 10,230.63, 14,125.37 and 7,878.39

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Solution

The fourth proportional to 10,230.63, 14,125.37 and 7,878.39 is: 10,877.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,230.63 : 14,125.37 = 7,878.39 : x
  2. Step 2: Convert to fraction form
    10,230.63/14,125.37 = 7,878.39/x
  3. Step 3: Cross multiply
    10,230.63x = 14,125.37 × 7,878.39
  4. Step 4: Simplify right side
    10,230.63x = 111,285,134.36
  5. Step 5: Solve for x
    x = 111,285,134.36/10,230.63
  6. Step 6: Final answer
    x = 10,877.64

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.