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Finding the Fourth Proportional to 7,870.50, 10,862.24 and 4,513.86

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Solution

The fourth proportional to 7,870.50, 10,862.24 and 4,513.86 is: 6,229.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,870.50 : 10,862.24 = 4,513.86 : x
  2. Step 2: Convert to fraction form
    7,870.50/10,862.24 = 4,513.86/x
  3. Step 3: Cross multiply
    7,870.50x = 10,862.24 × 4,513.86
  4. Step 4: Simplify right side
    7,870.50x = 49,030,608.08
  5. Step 5: Solve for x
    x = 49,030,608.08/7,870.50
  6. Step 6: Final answer
    x = 6,229.67

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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.