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Finding the Fourth Proportional to 10,458.78, 14,427.09 and 6,264.60

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Solution

The fourth proportional to 10,458.78, 14,427.09 and 6,264.60 is: 8,641.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,458.78 : 14,427.09 = 6,264.60 : x
  2. Step 2: Convert to fraction form
    10,458.78/14,427.09 = 6,264.60/x
  3. Step 3: Cross multiply
    10,458.78x = 14,427.09 × 6,264.60
  4. Step 4: Simplify right side
    10,458.78x = 90,379,948.01
  5. Step 5: Solve for x
    x = 90,379,948.01/10,458.78
  6. Step 6: Final answer
    x = 8,641.54

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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.