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Finding the Fourth Proportional to 8,340.98, 11,510.91 and 6,431.00

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Solution

The fourth proportional to 8,340.98, 11,510.91 and 6,431.00 is: 8,875.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,340.98 : 11,510.91 = 6,431.00 : x
  2. Step 2: Convert to fraction form
    8,340.98/11,510.91 = 6,431.00/x
  3. Step 3: Cross multiply
    8,340.98x = 11,510.91 × 6,431.00
  4. Step 4: Simplify right side
    8,340.98x = 74,026,604.66
  5. Step 5: Solve for x
    x = 74,026,604.66/8,340.98
  6. Step 6: Final answer
    x = 8,875.05

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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.