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Finding the Fourth Proportional to 10,804.64, 16,206.98 and 6,126.89

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Solution

The fourth proportional to 10,804.64, 16,206.98 and 6,126.89 is: 9,190.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,804.64 : 16,206.98 = 6,126.89 : x
  2. Step 2: Convert to fraction form
    10,804.64/16,206.98 = 6,126.89/x
  3. Step 3: Cross multiply
    10,804.64x = 16,206.98 × 6,126.89
  4. Step 4: Simplify right side
    10,804.64x = 99,298,272.02
  5. Step 5: Solve for x
    x = 99,298,272.02/10,804.64
  6. Step 6: Final answer
    x = 9,190.34

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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.