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Finding the Fourth Proportional to 10,620.09, 14,630.40 and 7,427.42

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Solution

The fourth proportional to 10,620.09, 14,630.40 and 7,427.42 is: 10,232.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,620.09 : 14,630.40 = 7,427.42 : x
  2. Step 2: Convert to fraction form
    10,620.09/14,630.40 = 7,427.42/x
  3. Step 3: Cross multiply
    10,620.09x = 14,630.40 × 7,427.42
  4. Step 4: Simplify right side
    10,620.09x = 108,666,125.57
  5. Step 5: Solve for x
    x = 108,666,125.57/10,620.09
  6. Step 6: Final answer
    x = 10,232.13

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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.