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Finding the Fourth Proportional to 10,423.65, 14,369.67 and 7,434.30

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Solution

The fourth proportional to 10,423.65, 14,369.67 and 7,434.30 is: 10,248.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,423.65 : 14,369.67 = 7,434.30 : x
  2. Step 2: Convert to fraction form
    10,423.65/14,369.67 = 7,434.30/x
  3. Step 3: Cross multiply
    10,423.65x = 14,369.67 × 7,434.30
  4. Step 4: Simplify right side
    10,423.65x = 106,828,437.68
  5. Step 5: Solve for x
    x = 106,828,437.68/10,423.65
  6. Step 6: Final answer
    x = 10,248.66

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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.