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Finding the Fourth Proportional to 7,926.46, 11,903.30 and 7,039.00

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Solution

The fourth proportional to 7,926.46, 11,903.30 and 7,039.00 is: 10,570.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,926.46 : 11,903.30 = 7,039.00 : x
  2. Step 2: Convert to fraction form
    7,926.46/11,903.30 = 7,039.00/x
  3. Step 3: Cross multiply
    7,926.46x = 11,903.30 × 7,039.00
  4. Step 4: Simplify right side
    7,926.46x = 83,787,374.37
  5. Step 5: Solve for x
    x = 83,787,374.37/7,926.46
  6. Step 6: Final answer
    x = 10,570.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.