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Finding the Fourth Proportional to 10,506.79, 14,494.78 and 7,521.54

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Solution

The fourth proportional to 10,506.79, 14,494.78 and 7,521.54 is: 10,376.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,506.79 : 14,494.78 = 7,521.54 : x
  2. Step 2: Convert to fraction form
    10,506.79/14,494.78 = 7,521.54/x
  3. Step 3: Cross multiply
    10,506.79x = 14,494.78 × 7,521.54
  4. Step 4: Simplify right side
    10,506.79x = 109,022,957.48
  5. Step 5: Solve for x
    x = 109,022,957.48/10,506.79
  6. Step 6: Final answer
    x = 10,376.43

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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.