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Finding the Fourth Proportional to 7,106.94, 10,656.81 and 4,146.35

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Solution

The fourth proportional to 7,106.94, 10,656.81 and 4,146.35 is: 6,217.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,106.94 : 10,656.81 = 4,146.35 : x
  2. Step 2: Convert to fraction form
    7,106.94/10,656.81 = 4,146.35/x
  3. Step 3: Cross multiply
    7,106.94x = 10,656.81 × 4,146.35
  4. Step 4: Simplify right side
    7,106.94x = 44,186,810.86
  5. Step 5: Solve for x
    x = 44,186,810.86/7,106.94
  6. Step 6: Final answer
    x = 6,217.42

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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.