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Finding the Fourth Proportional to 7,158.48, 10,735.56 and 4,236

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Solution

The fourth proportional to 7,158.48, 10,735.56 and 4,236 is: 6,352.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,158.48 : 10,735.56 = 4,236 : x
  2. Step 2: Convert to fraction form
    7,158.48/10,735.56 = 4,236/x
  3. Step 3: Cross multiply
    7,158.48x = 10,735.56 × 4,236
  4. Step 4: Simplify right side
    7,158.48x = 45,475,832.16
  5. Step 5: Solve for x
    x = 45,475,832.16/7,158.48
  6. Step 6: Final answer
    x = 6,352.72

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.