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Finding the Fourth Proportional to 10,506.29, 14,494.09 and 7,521.04

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Solution

The fourth proportional to 10,506.29, 14,494.09 and 7,521.04 is: 10,375.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,506.29 : 14,494.09 = 7,521.04 : x
  2. Step 2: Convert to fraction form
    10,506.29/14,494.09 = 7,521.04/x
  3. Step 3: Cross multiply
    10,506.29x = 14,494.09 × 7,521.04
  4. Step 4: Simplify right side
    10,506.29x = 109,010,520.58
  5. Step 5: Solve for x
    x = 109,010,520.58/10,506.29
  6. Step 6: Final answer
    x = 10,375.74

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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.