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Finding the Fourth Proportional to 7,716.41, 11,566.41 and 4,014.93

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Solution

The fourth proportional to 7,716.41, 11,566.41 and 4,014.93 is: 6,018.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,716.41 : 11,566.41 = 4,014.93 : x
  2. Step 2: Convert to fraction form
    7,716.41/11,566.41 = 4,014.93/x
  3. Step 3: Cross multiply
    7,716.41x = 11,566.41 × 4,014.93
  4. Step 4: Simplify right side
    7,716.41x = 46,438,326.50
  5. Step 5: Solve for x
    x = 46,438,326.50/7,716.41
  6. Step 6: Final answer
    x = 6,018.13

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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.