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Finding the Fourth Proportional to 10,698.88, 14,765.28 and 5,983.36

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Solution

The fourth proportional to 10,698.88, 14,765.28 and 5,983.36 is: 8,257.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,698.88 : 14,765.28 = 5,983.36 : x
  2. Step 2: Convert to fraction form
    10,698.88/14,765.28 = 5,983.36/x
  3. Step 3: Cross multiply
    10,698.88x = 14,765.28 × 5,983.36
  4. Step 4: Simplify right side
    10,698.88x = 88,345,985.74
  5. Step 5: Solve for x
    x = 88,345,985.74/10,698.88
  6. Step 6: Final answer
    x = 8,257.50

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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.