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Finding the Fourth Proportional to 8,296.93, 12,445.40 and 2,454

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Solution

The fourth proportional to 8,296.93, 12,445.40 and 2,454 is: 3,681.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,296.93 : 12,445.40 = 2,454 : x
  2. Step 2: Convert to fraction form
    8,296.93/12,445.40 = 2,454/x
  3. Step 3: Cross multiply
    8,296.93x = 12,445.40 × 2,454
  4. Step 4: Simplify right side
    8,296.93x = 30,541,011.60
  5. Step 5: Solve for x
    x = 30,541,011.60/8,296.93
  6. Step 6: Final answer
    x = 3,681.00

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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.