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Finding the Fourth Proportional to 10,415.04, 14,372.97 and 5,699.32

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Solution

The fourth proportional to 10,415.04, 14,372.97 and 5,699.32 is: 7,865.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,415.04 : 14,372.97 = 5,699.32 : x
  2. Step 2: Convert to fraction form
    10,415.04/14,372.97 = 5,699.32/x
  3. Step 3: Cross multiply
    10,415.04x = 14,372.97 × 5,699.32
  4. Step 4: Simplify right side
    10,415.04x = 81,916,155.38
  5. Step 5: Solve for x
    x = 81,916,155.38/10,415.04
  6. Step 6: Final answer
    x = 7,865.18

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.