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Finding the Fourth Proportional to 7,238.16, 10,859.40 and 4,158

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Solution

The fourth proportional to 7,238.16, 10,859.40 and 4,158 is: 6,238.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,238.16 : 10,859.40 = 4,158 : x
  2. Step 2: Convert to fraction form
    7,238.16/10,859.40 = 4,158/x
  3. Step 3: Cross multiply
    7,238.16x = 10,859.40 × 4,158
  4. Step 4: Simplify right side
    7,238.16x = 45,153,385.20
  5. Step 5: Solve for x
    x = 45,153,385.20/7,238.16
  6. Step 6: Final answer
    x = 6,238.24

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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.