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Finding the Fourth Proportional to 7,870.47, 10,861.53 and 4,887.95

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Solution

The fourth proportional to 7,870.47, 10,861.53 and 4,887.95 is: 6,745.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,870.47 : 10,861.53 = 4,887.95 : x
  2. Step 2: Convert to fraction form
    7,870.47/10,861.53 = 4,887.95/x
  3. Step 3: Cross multiply
    7,870.47x = 10,861.53 × 4,887.95
  4. Step 4: Simplify right side
    7,870.47x = 53,090,563.55
  5. Step 5: Solve for x
    x = 53,090,563.55/7,870.47
  6. Step 6: Final answer
    x = 6,745.54

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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.