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Finding the Fourth Proportional to 8,356.84, 12,534 and 2,809.96

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Solution

The fourth proportional to 8,356.84, 12,534 and 2,809.96 is: 4,214.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,356.84 : 12,534 = 2,809.96 : x
  2. Step 2: Convert to fraction form
    8,356.84/12,534 = 2,809.96/x
  3. Step 3: Cross multiply
    8,356.84x = 12,534 × 2,809.96
  4. Step 4: Simplify right side
    8,356.84x = 35,220,038.64
  5. Step 5: Solve for x
    x = 35,220,038.64/8,356.84
  6. Step 6: Final answer
    x = 4,214.52

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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.