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Finding the Fourth Proportional to 10,804.04, 16,173.66 and 7,685

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Solution

The fourth proportional to 10,804.04, 16,173.66 and 7,685 is: 11,504.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,804.04 : 16,173.66 = 7,685 : x
  2. Step 2: Convert to fraction form
    10,804.04/16,173.66 = 7,685/x
  3. Step 3: Cross multiply
    10,804.04x = 16,173.66 × 7,685
  4. Step 4: Simplify right side
    10,804.04x = 124,294,577.10
  5. Step 5: Solve for x
    x = 124,294,577.10/10,804.04
  6. Step 6: Final answer
    x = 11,504.45

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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.