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Finding the Fourth Proportional to 10,396.52, 14,347.12 and 5,680.72

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Solution

The fourth proportional to 10,396.52, 14,347.12 and 5,680.72 is: 7,839.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,396.52 : 14,347.12 = 5,680.72 : x
  2. Step 2: Convert to fraction form
    10,396.52/14,347.12 = 5,680.72/x
  3. Step 3: Cross multiply
    10,396.52x = 14,347.12 × 5,680.72
  4. Step 4: Simplify right side
    10,396.52x = 81,501,971.53
  5. Step 5: Solve for x
    x = 81,501,971.53/10,396.52
  6. Step 6: Final answer
    x = 7,839.35

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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.