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Finding the Fourth Proportional to 10,450.16, 14,427.74 and 6,918.32

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Solution

The fourth proportional to 10,450.16, 14,427.74 and 6,918.32 is: 9,551.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,450.16 : 14,427.74 = 6,918.32 : x
  2. Step 2: Convert to fraction form
    10,450.16/14,427.74 = 6,918.32/x
  3. Step 3: Cross multiply
    10,450.16x = 14,427.74 × 6,918.32
  4. Step 4: Simplify right side
    10,450.16x = 99,815,722.20
  5. Step 5: Solve for x
    x = 99,815,722.20/10,450.16
  6. Step 6: Final answer
    x = 9,551.60

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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.