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Finding the Fourth Proportional to 7,106.32, 10,644.60 and 3,411.60

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Solution

The fourth proportional to 7,106.32, 10,644.60 and 3,411.60 is: 5,110.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,106.32 : 10,644.60 = 3,411.60 : x
  2. Step 2: Convert to fraction form
    7,106.32/10,644.60 = 3,411.60/x
  3. Step 3: Cross multiply
    7,106.32x = 10,644.60 × 3,411.60
  4. Step 4: Simplify right side
    7,106.32x = 36,315,117.36
  5. Step 5: Solve for x
    x = 36,315,117.36/7,106.32
  6. Step 6: Final answer
    x = 5,110.26

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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.