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Finding the Fourth Proportional to 7,343.46, 11,005.47 and 4,225.16

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Solution

The fourth proportional to 7,343.46, 11,005.47 and 4,225.16 is: 6,332.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,343.46 : 11,005.47 = 4,225.16 : x
  2. Step 2: Convert to fraction form
    7,343.46/11,005.47 = 4,225.16/x
  3. Step 3: Cross multiply
    7,343.46x = 11,005.47 × 4,225.16
  4. Step 4: Simplify right side
    7,343.46x = 46,499,899.14
  5. Step 5: Solve for x
    x = 46,499,899.14/7,343.46
  6. Step 6: Final answer
    x = 6,332.15

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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.