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Finding the Fourth Proportional to 10,838.02, 14,956.49 and 5,870.02

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Solution

The fourth proportional to 10,838.02, 14,956.49 and 5,870.02 is: 8,100.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,838.02 : 14,956.49 = 5,870.02 : x
  2. Step 2: Convert to fraction form
    10,838.02/14,956.49 = 5,870.02/x
  3. Step 3: Cross multiply
    10,838.02x = 14,956.49 × 5,870.02
  4. Step 4: Simplify right side
    10,838.02x = 87,794,895.43
  5. Step 5: Solve for x
    x = 87,794,895.43/10,838.02
  6. Step 6: Final answer
    x = 8,100.64

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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.