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Finding the Fourth Proportional to 7,985.29, 11,978.02 and 3,055.18

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Solution

The fourth proportional to 7,985.29, 11,978.02 and 3,055.18 is: 4,582.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,985.29 : 11,978.02 = 3,055.18 : x
  2. Step 2: Convert to fraction form
    7,985.29/11,978.02 = 3,055.18/x
  3. Step 3: Cross multiply
    7,985.29x = 11,978.02 × 3,055.18
  4. Step 4: Simplify right side
    7,985.29x = 36,594,931.98
  5. Step 5: Solve for x
    x = 36,594,931.98/7,985.29
  6. Step 6: Final answer
    x = 4,582.80

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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.