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Finding the Fourth Proportional to 7,076.84, 9,762.90 and 4,716.68

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Solution

The fourth proportional to 7,076.84, 9,762.90 and 4,716.68 is: 6,506.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,076.84 : 9,762.90 = 4,716.68 : x
  2. Step 2: Convert to fraction form
    7,076.84/9,762.90 = 4,716.68/x
  3. Step 3: Cross multiply
    7,076.84x = 9,762.90 × 4,716.68
  4. Step 4: Simplify right side
    7,076.84x = 46,048,475.17
  5. Step 5: Solve for x
    x = 46,048,475.17/7,076.84
  6. Step 6: Final answer
    x = 6,506.93

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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.