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Finding the Fourth Proportional to 10,550.47, 14,556.36 and 7,014.28

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Solution

The fourth proportional to 10,550.47, 14,556.36 and 7,014.28 is: 9,677.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,550.47 : 14,556.36 = 7,014.28 : x
  2. Step 2: Convert to fraction form
    10,550.47/14,556.36 = 7,014.28/x
  3. Step 3: Cross multiply
    10,550.47x = 14,556.36 × 7,014.28
  4. Step 4: Simplify right side
    10,550.47x = 102,102,384.82
  5. Step 5: Solve for x
    x = 102,102,384.82/10,550.47
  6. Step 6: Final answer
    x = 9,677.52

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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.