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Finding the Fourth Proportional to 7,985.01, 11,978.73 and 4,867.32

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Solution

The fourth proportional to 7,985.01, 11,978.73 and 4,867.32 is: 7,301.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,985.01 : 11,978.73 = 4,867.32 : x
  2. Step 2: Convert to fraction form
    7,985.01/11,978.73 = 4,867.32/x
  3. Step 3: Cross multiply
    7,985.01x = 11,978.73 × 4,867.32
  4. Step 4: Simplify right side
    7,985.01x = 58,304,312.10
  5. Step 5: Solve for x
    x = 58,304,312.10/7,985.01
  6. Step 6: Final answer
    x = 7,301.72

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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.