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Finding the Fourth Proportional to 7,700.18, 10,626.51 and 4,343.13

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Solution

The fourth proportional to 7,700.18, 10,626.51 and 4,343.13 is: 5,993.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,700.18 : 10,626.51 = 4,343.13 : x
  2. Step 2: Convert to fraction form
    7,700.18/10,626.51 = 4,343.13/x
  3. Step 3: Cross multiply
    7,700.18x = 10,626.51 × 4,343.13
  4. Step 4: Simplify right side
    7,700.18x = 46,152,314.38
  5. Step 5: Solve for x
    x = 46,152,314.38/7,700.18
  6. Step 6: Final answer
    x = 5,993.67

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Why These Related Problems?

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