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Finding the Fourth Proportional to 8,900.70, 12,271.80 and 5,708.36

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Solution

The fourth proportional to 8,900.70, 12,271.80 and 5,708.36 is: 7,870.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,900.70 : 12,271.80 = 5,708.36 : x
  2. Step 2: Convert to fraction form
    8,900.70/12,271.80 = 5,708.36/x
  3. Step 3: Cross multiply
    8,900.70x = 12,271.80 × 5,708.36
  4. Step 4: Simplify right side
    8,900.70x = 70,051,823.71
  5. Step 5: Solve for x
    x = 70,051,823.71/8,900.70
  6. Step 6: Final answer
    x = 7,870.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.