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Finding the Fourth Proportional to 10,804.64, 16,207 and 7,297.24

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Solution

The fourth proportional to 10,804.64, 16,207 and 7,297.24 is: 10,945.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,804.64 : 16,207 = 7,297.24 : x
  2. Step 2: Convert to fraction form
    10,804.64/16,207 = 7,297.24/x
  3. Step 3: Cross multiply
    10,804.64x = 16,207 × 7,297.24
  4. Step 4: Simplify right side
    10,804.64x = 118,266,368.68
  5. Step 5: Solve for x
    x = 118,266,368.68/10,804.64
  6. Step 6: Final answer
    x = 10,945.89

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Why These Related Problems?

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