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Finding the Fourth Proportional to 10,717.25, 16,078.50 and 8,655.93

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Solution

The fourth proportional to 10,717.25, 16,078.50 and 8,655.93 is: 12,986.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,717.25 : 16,078.50 = 8,655.93 : x
  2. Step 2: Convert to fraction form
    10,717.25/16,078.50 = 8,655.93/x
  3. Step 3: Cross multiply
    10,717.25x = 16,078.50 × 8,655.93
  4. Step 4: Simplify right side
    10,717.25x = 139,174,370.51
  5. Step 5: Solve for x
    x = 139,174,370.51/10,717.25
  6. Step 6: Final answer
    x = 12,986.02

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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.