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Finding the Fourth Proportional to 8,688.84, 11,977.32 and 5,325.41

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Solution

The fourth proportional to 8,688.84, 11,977.32 and 5,325.41 is: 7,340.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,688.84 : 11,977.32 = 5,325.41 : x
  2. Step 2: Convert to fraction form
    8,688.84/11,977.32 = 5,325.41/x
  3. Step 3: Cross multiply
    8,688.84x = 11,977.32 × 5,325.41
  4. Step 4: Simplify right side
    8,688.84x = 63,784,159.66
  5. Step 5: Solve for x
    x = 63,784,159.66/8,688.84
  6. Step 6: Final answer
    x = 7,340.93

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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.