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Finding the Fourth Proportional to 7,974.18, 11,950.32 and 4,070.40

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Solution

The fourth proportional to 7,974.18, 11,950.32 and 4,070.40 is: 6,100.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,974.18 : 11,950.32 = 4,070.40 : x
  2. Step 2: Convert to fraction form
    7,974.18/11,950.32 = 4,070.40/x
  3. Step 3: Cross multiply
    7,974.18x = 11,950.32 × 4,070.40
  4. Step 4: Simplify right side
    7,974.18x = 48,642,582.53
  5. Step 5: Solve for x
    x = 48,642,582.53/7,974.18
  6. Step 6: Final answer
    x = 6,100.01

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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.