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Finding the Fourth Proportional to 7,707.95, 10,638.41 and 4,522.67

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Solution

The fourth proportional to 7,707.95, 10,638.41 and 4,522.67 is: 6,242.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,707.95 : 10,638.41 = 4,522.67 : x
  2. Step 2: Convert to fraction form
    7,707.95/10,638.41 = 4,522.67/x
  3. Step 3: Cross multiply
    7,707.95x = 10,638.41 × 4,522.67
  4. Step 4: Simplify right side
    7,707.95x = 48,113,941.95
  5. Step 5: Solve for x
    x = 48,113,941.95/7,707.95
  6. Step 6: Final answer
    x = 6,242.12

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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.