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Finding the Fourth Proportional to 8,586.71, 11,848.98 and 4,809.58

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Solution

The fourth proportional to 8,586.71, 11,848.98 and 4,809.58 is: 6,636.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,586.71 : 11,848.98 = 4,809.58 : x
  2. Step 2: Convert to fraction form
    8,586.71/11,848.98 = 4,809.58/x
  3. Step 3: Cross multiply
    8,586.71x = 11,848.98 × 4,809.58
  4. Step 4: Simplify right side
    8,586.71x = 56,988,605.64
  5. Step 5: Solve for x
    x = 56,988,605.64/8,586.71
  6. Step 6: Final answer
    x = 6,636.84

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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.