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Finding the Fourth Proportional to 10,735.16, 14,815.27 and 5,956.63

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Solution

The fourth proportional to 10,735.16, 14,815.27 and 5,956.63 is: 8,220.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,735.16 : 14,815.27 = 5,956.63 : x
  2. Step 2: Convert to fraction form
    10,735.16/14,815.27 = 5,956.63/x
  3. Step 3: Cross multiply
    10,735.16x = 14,815.27 × 5,956.63
  4. Step 4: Simplify right side
    10,735.16x = 88,249,052.15
  5. Step 5: Solve for x
    x = 88,249,052.15/10,735.16
  6. Step 6: Final answer
    x = 8,220.57

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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.