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Finding the Fourth Proportional to 10,599.16, 14,626.20 and 5,883.16

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Solution

The fourth proportional to 10,599.16, 14,626.20 and 5,883.16 is: 8,118.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,599.16 : 14,626.20 = 5,883.16 : x
  2. Step 2: Convert to fraction form
    10,599.16/14,626.20 = 5,883.16/x
  3. Step 3: Cross multiply
    10,599.16x = 14,626.20 × 5,883.16
  4. Step 4: Simplify right side
    10,599.16x = 86,048,274.79
  5. Step 5: Solve for x
    x = 86,048,274.79/10,599.16
  6. Step 6: Final answer
    x = 8,118.41

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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.