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Finding the Fourth Proportional to 10,686.36, 16,007.77 and 8,719

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Solution

The fourth proportional to 10,686.36, 16,007.77 and 8,719 is: 13,060.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,686.36 : 16,007.77 = 8,719 : x
  2. Step 2: Convert to fraction form
    10,686.36/16,007.77 = 8,719/x
  3. Step 3: Cross multiply
    10,686.36x = 16,007.77 × 8,719
  4. Step 4: Simplify right side
    10,686.36x = 139,571,746.63
  5. Step 5: Solve for x
    x = 139,571,746.63/10,686.36
  6. Step 6: Final answer
    x = 13,060.74

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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.