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Finding the Fourth Proportional to 7,987.80, 11,985.40 and 3,055.80

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Solution

The fourth proportional to 7,987.80, 11,985.40 and 3,055.80 is: 4,585.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,987.80 : 11,985.40 = 3,055.80 : x
  2. Step 2: Convert to fraction form
    7,987.80/11,985.40 = 3,055.80/x
  3. Step 3: Cross multiply
    7,987.80x = 11,985.40 × 3,055.80
  4. Step 4: Simplify right side
    7,987.80x = 36,624,985.32
  5. Step 5: Solve for x
    x = 36,624,985.32/7,987.80
  6. Step 6: Final answer
    x = 4,585.12

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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.