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Finding the Fourth Proportional to 7,970.19, 10,994.70 and 5,136.81

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Solution

The fourth proportional to 7,970.19, 10,994.70 and 5,136.81 is: 7,086.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,970.19 : 10,994.70 = 5,136.81 : x
  2. Step 2: Convert to fraction form
    7,970.19/10,994.70 = 5,136.81/x
  3. Step 3: Cross multiply
    7,970.19x = 10,994.70 × 5,136.81
  4. Step 4: Simplify right side
    7,970.19x = 56,477,684.91
  5. Step 5: Solve for x
    x = 56,477,684.91/7,970.19
  6. Step 6: Final answer
    x = 7,086.12

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.