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Finding the Fourth Proportional to 7,776.90, 11,661.06 and 5,314.50

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Solution

The fourth proportional to 7,776.90, 11,661.06 and 5,314.50 is: 7,968.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,776.90 : 11,661.06 = 5,314.50 : x
  2. Step 2: Convert to fraction form
    7,776.90/11,661.06 = 5,314.50/x
  3. Step 3: Cross multiply
    7,776.90x = 11,661.06 × 5,314.50
  4. Step 4: Simplify right side
    7,776.90x = 61,972,703.37
  5. Step 5: Solve for x
    x = 61,972,703.37/7,776.90
  6. Step 6: Final answer
    x = 7,968.82

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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.