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Finding the Fourth Proportional to 8,735.99, 12,055.23 and 4,756.86

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Solution

The fourth proportional to 8,735.99, 12,055.23 and 4,756.86 is: 6,564.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,735.99 : 12,055.23 = 4,756.86 : x
  2. Step 2: Convert to fraction form
    8,735.99/12,055.23 = 4,756.86/x
  3. Step 3: Cross multiply
    8,735.99x = 12,055.23 × 4,756.86
  4. Step 4: Simplify right side
    8,735.99x = 57,345,041.38
  5. Step 5: Solve for x
    x = 57,345,041.38/8,735.99
  6. Step 6: Final answer
    x = 6,564.23

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.