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Finding the Fourth Proportional to 10,222.16, 15,271.05 and 6,494.52

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Solution

The fourth proportional to 10,222.16, 15,271.05 and 6,494.52 is: 9,702.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,222.16 : 15,271.05 = 6,494.52 : x
  2. Step 2: Convert to fraction form
    10,222.16/15,271.05 = 6,494.52/x
  3. Step 3: Cross multiply
    10,222.16x = 15,271.05 × 6,494.52
  4. Step 4: Simplify right side
    10,222.16x = 99,178,139.65
  5. Step 5: Solve for x
    x = 99,178,139.65/10,222.16
  6. Step 6: Final answer
    x = 9,702.27

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.