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Finding the Fourth Proportional to 7,423.46, 10,238.01 and 5,294.93

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Solution

The fourth proportional to 7,423.46, 10,238.01 and 5,294.93 is: 7,302.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,423.46 : 10,238.01 = 5,294.93 : x
  2. Step 2: Convert to fraction form
    7,423.46/10,238.01 = 5,294.93/x
  3. Step 3: Cross multiply
    7,423.46x = 10,238.01 × 5,294.93
  4. Step 4: Simplify right side
    7,423.46x = 54,209,546.29
  5. Step 5: Solve for x
    x = 54,209,546.29/7,423.46
  6. Step 6: Final answer
    x = 7,302.47

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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.