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Finding the Fourth Proportional to 7,638.66, 10,527.03 and 6,124.50

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Solution

The fourth proportional to 7,638.66, 10,527.03 and 6,124.50 is: 8,440.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,638.66 : 10,527.03 = 6,124.50 : x
  2. Step 2: Convert to fraction form
    7,638.66/10,527.03 = 6,124.50/x
  3. Step 3: Cross multiply
    7,638.66x = 10,527.03 × 6,124.50
  4. Step 4: Simplify right side
    7,638.66x = 64,472,795.24
  5. Step 5: Solve for x
    x = 64,472,795.24/7,638.66
  6. Step 6: Final answer
    x = 8,440.33

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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.