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Finding the Fourth Proportional to 8,985.82, 13,483 and 4,056.98

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Solution

The fourth proportional to 8,985.82, 13,483 and 4,056.98 is: 6,087.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,985.82 : 13,483 = 4,056.98 : x
  2. Step 2: Convert to fraction form
    8,985.82/13,483 = 4,056.98/x
  3. Step 3: Cross multiply
    8,985.82x = 13,483 × 4,056.98
  4. Step 4: Simplify right side
    8,985.82x = 54,700,261.34
  5. Step 5: Solve for x
    x = 54,700,261.34/8,985.82
  6. Step 6: Final answer
    x = 6,087.40

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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.