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Finding the Fourth Proportional to 7,118.19, 9,823 and 4,135.70

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Solution

The fourth proportional to 7,118.19, 9,823 and 4,135.70 is: 5,707.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,118.19 : 9,823 = 4,135.70 : x
  2. Step 2: Convert to fraction form
    7,118.19/9,823 = 4,135.70/x
  3. Step 3: Cross multiply
    7,118.19x = 9,823 × 4,135.70
  4. Step 4: Simplify right side
    7,118.19x = 40,624,981.10
  5. Step 5: Solve for x
    x = 40,624,981.10/7,118.19
  6. Step 6: Final answer
    x = 5,707.21

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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.