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Finding the Fourth Proportional to 8,055.90, 12,066 and 6,193.26

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Solution

The fourth proportional to 8,055.90, 12,066 and 6,193.26 is: 9,276.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,055.90 : 12,066 = 6,193.26 : x
  2. Step 2: Convert to fraction form
    8,055.90/12,066 = 6,193.26/x
  3. Step 3: Cross multiply
    8,055.90x = 12,066 × 6,193.26
  4. Step 4: Simplify right side
    8,055.90x = 74,727,875.16
  5. Step 5: Solve for x
    x = 74,727,875.16/8,055.90
  6. Step 6: Final answer
    x = 9,276.17

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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.