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Finding the Fourth Proportional to 8,433.63, 12,646.80 and 4,927.14

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Solution

The fourth proportional to 8,433.63, 12,646.80 and 4,927.14 is: 7,388.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,433.63 : 12,646.80 = 4,927.14 : x
  2. Step 2: Convert to fraction form
    8,433.63/12,646.80 = 4,927.14/x
  3. Step 3: Cross multiply
    8,433.63x = 12,646.80 × 4,927.14
  4. Step 4: Simplify right side
    8,433.63x = 62,312,554.15
  5. Step 5: Solve for x
    x = 62,312,554.15/8,433.63
  6. Step 6: Final answer
    x = 7,388.58

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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.