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Finding the Fourth Proportional to 10,415, 14,372.88 and 5,699.36

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Solution

The fourth proportional to 10,415, 14,372.88 and 5,699.36 is: 7,865.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,415 : 14,372.88 = 5,699.36 : x
  2. Step 2: Convert to fraction form
    10,415/14,372.88 = 5,699.36/x
  3. Step 3: Cross multiply
    10,415x = 14,372.88 × 5,699.36
  4. Step 4: Simplify right side
    10,415x = 81,916,217.36
  5. Step 5: Solve for x
    x = 81,916,217.36/10,415
  6. Step 6: Final answer
    x = 7,865.22

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