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Finding the Fourth Proportional to 8,883.84, 13,323.06 and 3,688.50

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Solution

The fourth proportional to 8,883.84, 13,323.06 and 3,688.50 is: 5,531.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,883.84 : 13,323.06 = 3,688.50 : x
  2. Step 2: Convert to fraction form
    8,883.84/13,323.06 = 3,688.50/x
  3. Step 3: Cross multiply
    8,883.84x = 13,323.06 × 3,688.50
  4. Step 4: Simplify right side
    8,883.84x = 49,142,106.81
  5. Step 5: Solve for x
    x = 49,142,106.81/8,883.84
  6. Step 6: Final answer
    x = 5,531.63

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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.