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Finding the Fourth Proportional to 8,713.80, 13,056.30 and 7,417.80

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Solution

The fourth proportional to 8,713.80, 13,056.30 and 7,417.80 is: 11,114.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,713.80 : 13,056.30 = 7,417.80 : x
  2. Step 2: Convert to fraction form
    8,713.80/13,056.30 = 7,417.80/x
  3. Step 3: Cross multiply
    8,713.80x = 13,056.30 × 7,417.80
  4. Step 4: Simplify right side
    8,713.80x = 96,849,022.14
  5. Step 5: Solve for x
    x = 96,849,022.14/8,713.80
  6. Step 6: Final answer
    x = 11,114.44

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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.