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Finding the Fourth Proportional to 10,726.62, 16,088.90 and 6,564.48

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Solution

The fourth proportional to 10,726.62, 16,088.90 and 6,564.48 is: 9,846.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,726.62 : 16,088.90 = 6,564.48 : x
  2. Step 2: Convert to fraction form
    10,726.62/16,088.90 = 6,564.48/x
  3. Step 3: Cross multiply
    10,726.62x = 16,088.90 × 6,564.48
  4. Step 4: Simplify right side
    10,726.62x = 105,615,296.54
  5. Step 5: Solve for x
    x = 105,615,296.54/10,726.62
  6. Step 6: Final answer
    x = 9,846.10

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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.