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Finding the Fourth Proportional to 10,362.88, 14,308.14 and 6,385.24

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Solution

The fourth proportional to 10,362.88, 14,308.14 and 6,385.24 is: 8,816.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,362.88 : 14,308.14 = 6,385.24 : x
  2. Step 2: Convert to fraction form
    10,362.88/14,308.14 = 6,385.24/x
  3. Step 3: Cross multiply
    10,362.88x = 14,308.14 × 6,385.24
  4. Step 4: Simplify right side
    10,362.88x = 91,360,907.85
  5. Step 5: Solve for x
    x = 91,360,907.85/10,362.88
  6. Step 6: Final answer
    x = 8,816.17

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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.