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Finding the Fourth Proportional to 7,756.66, 10,706.16 and 4,967.02

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Solution

The fourth proportional to 7,756.66, 10,706.16 and 4,967.02 is: 6,855.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,756.66 : 10,706.16 = 4,967.02 : x
  2. Step 2: Convert to fraction form
    7,756.66/10,706.16 = 4,967.02/x
  3. Step 3: Cross multiply
    7,756.66x = 10,706.16 × 4,967.02
  4. Step 4: Simplify right side
    7,756.66x = 53,177,710.84
  5. Step 5: Solve for x
    x = 53,177,710.84/7,756.66
  6. Step 6: Final answer
    x = 6,855.75

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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.