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Finding the Fourth Proportional to 7,881.84, 11,823.98 and 2,686.50

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Solution

The fourth proportional to 7,881.84, 11,823.98 and 2,686.50 is: 4,030.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,881.84 : 11,823.98 = 2,686.50 : x
  2. Step 2: Convert to fraction form
    7,881.84/11,823.98 = 2,686.50/x
  3. Step 3: Cross multiply
    7,881.84x = 11,823.98 × 2,686.50
  4. Step 4: Simplify right side
    7,881.84x = 31,765,108.84
  5. Step 5: Solve for x
    x = 31,765,108.84/7,881.84
  6. Step 6: Final answer
    x = 4,030.16

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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.