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Finding the Fourth Proportional to 7,106.00, 10,656.02 and 3,407.36

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Solution

The fourth proportional to 7,106.00, 10,656.02 and 3,407.36 is: 5,109.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,106.00 : 10,656.02 = 3,407.36 : x
  2. Step 2: Convert to fraction form
    7,106.00/10,656.02 = 3,407.36/x
  3. Step 3: Cross multiply
    7,106.00x = 10,656.02 × 3,407.36
  4. Step 4: Simplify right side
    7,106.00x = 36,308,851.55
  5. Step 5: Solve for x
    x = 36,308,851.55/7,106.00
  6. Step 6: Final answer
    x = 5,109.61

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Why These Related Problems?

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