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Finding the Fourth Proportional to 11,920.86, 17,870.36 and 6,070.64

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Solution

The fourth proportional to 11,920.86, 17,870.36 and 6,070.64 is: 9,100.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,920.86 : 17,870.36 = 6,070.64 : x
  2. Step 2: Convert to fraction form
    11,920.86/17,870.36 = 6,070.64/x
  3. Step 3: Cross multiply
    11,920.86x = 17,870.36 × 6,070.64
  4. Step 4: Simplify right side
    11,920.86x = 108,484,402.53
  5. Step 5: Solve for x
    x = 108,484,402.53/11,920.86
  6. Step 6: Final answer
    x = 9,100.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.