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Finding the Fourth Proportional to 10,550.54, 14,562.62 and 6,569.32

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Solution

The fourth proportional to 10,550.54, 14,562.62 and 6,569.32 is: 9,067.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,550.54 : 14,562.62 = 6,569.32 : x
  2. Step 2: Convert to fraction form
    10,550.54/14,562.62 = 6,569.32/x
  3. Step 3: Cross multiply
    10,550.54x = 14,562.62 × 6,569.32
  4. Step 4: Simplify right side
    10,550.54x = 95,666,510.82
  5. Step 5: Solve for x
    x = 95,666,510.82/10,550.54
  6. Step 6: Final answer
    x = 9,067.45

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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.