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Finding the Fourth Proportional to 10,968.32, 16,436.00 and 7,647.72

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Solution

The fourth proportional to 10,968.32, 16,436.00 and 7,647.72 is: 11,460.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,968.32 : 16,436.00 = 7,647.72 : x
  2. Step 2: Convert to fraction form
    10,968.32/16,436.00 = 7,647.72/x
  3. Step 3: Cross multiply
    10,968.32x = 16,436.00 × 7,647.72
  4. Step 4: Simplify right side
    10,968.32x = 125,697,945.04
  5. Step 5: Solve for x
    x = 125,697,945.04/10,968.32
  6. Step 6: Final answer
    x = 11,460.10

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.