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Finding the Fourth Proportional to 8,210.71, 12,304.49 and 4,695.44

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Solution

The fourth proportional to 8,210.71, 12,304.49 and 4,695.44 is: 7,036.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,210.71 : 12,304.49 = 4,695.44 : x
  2. Step 2: Convert to fraction form
    8,210.71/12,304.49 = 4,695.44/x
  3. Step 3: Cross multiply
    8,210.71x = 12,304.49 × 4,695.44
  4. Step 4: Simplify right side
    8,210.71x = 57,774,994.53
  5. Step 5: Solve for x
    x = 57,774,994.53/8,210.71
  6. Step 6: Final answer
    x = 7,036.54

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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.