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Finding the Fourth Proportional to 10,432.19, 14,394.08 and 5,954.51

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Solution

The fourth proportional to 10,432.19, 14,394.08 and 5,954.51 is: 8,215.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,432.19 : 14,394.08 = 5,954.51 : x
  2. Step 2: Convert to fraction form
    10,432.19/14,394.08 = 5,954.51/x
  3. Step 3: Cross multiply
    10,432.19x = 14,394.08 × 5,954.51
  4. Step 4: Simplify right side
    10,432.19x = 85,709,693.30
  5. Step 5: Solve for x
    x = 85,709,693.30/10,432.19
  6. Step 6: Final answer
    x = 8,215.89

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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.