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Finding the Fourth Proportional to 7,116.63, 10,674.93 and 3,956.08

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Solution

The fourth proportional to 7,116.63, 10,674.93 and 3,956.08 is: 5,934.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,116.63 : 10,674.93 = 3,956.08 : x
  2. Step 2: Convert to fraction form
    7,116.63/10,674.93 = 3,956.08/x
  3. Step 3: Cross multiply
    7,116.63x = 10,674.93 × 3,956.08
  4. Step 4: Simplify right side
    7,116.63x = 42,230,877.07
  5. Step 5: Solve for x
    x = 42,230,877.07/7,116.63
  6. Step 6: Final answer
    x = 5,934.11

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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.