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Finding the Fourth Proportional to 8,782.47, 13,111.11 and 8,474.94

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Solution

The fourth proportional to 8,782.47, 13,111.11 and 8,474.94 is: 12,652.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,782.47 : 13,111.11 = 8,474.94 : x
  2. Step 2: Convert to fraction form
    8,782.47/13,111.11 = 8,474.94/x
  3. Step 3: Cross multiply
    8,782.47x = 13,111.11 × 8,474.94
  4. Step 4: Simplify right side
    8,782.47x = 111,115,870.58
  5. Step 5: Solve for x
    x = 111,115,870.58/8,782.47
  6. Step 6: Final answer
    x = 12,652.01

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Why These Related Problems?

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