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Finding the Fourth Proportional to 10,415.28, 14,373.06 and 5,699.52

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Solution

The fourth proportional to 10,415.28, 14,373.06 and 5,699.52 is: 7,865.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,415.28 : 14,373.06 = 5,699.52 : x
  2. Step 2: Convert to fraction form
    10,415.28/14,373.06 = 5,699.52/x
  3. Step 3: Cross multiply
    10,415.28x = 14,373.06 × 5,699.52
  4. Step 4: Simplify right side
    10,415.28x = 81,919,542.93
  5. Step 5: Solve for x
    x = 81,919,542.93/10,415.28
  6. Step 6: Final answer
    x = 7,865.32

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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.