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Finding the Fourth Proportional to 10,574.99, 15,864.76 and 6,577.33

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Solution

The fourth proportional to 10,574.99, 15,864.76 and 6,577.33 is: 9,867.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,574.99 : 15,864.76 = 6,577.33 : x
  2. Step 2: Convert to fraction form
    10,574.99/15,864.76 = 6,577.33/x
  3. Step 3: Cross multiply
    10,574.99x = 15,864.76 × 6,577.33
  4. Step 4: Simplify right side
    10,574.99x = 104,347,761.89
  5. Step 5: Solve for x
    x = 104,347,761.89/10,574.99
  6. Step 6: Final answer
    x = 9,867.41

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.