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Finding the Fourth Proportional to 12,373.25, 17,075.10 and 6,784.61

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Solution

The fourth proportional to 12,373.25, 17,075.10 and 6,784.61 is: 9,362.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,373.25 : 17,075.10 = 6,784.61 : x
  2. Step 2: Convert to fraction form
    12,373.25/17,075.10 = 6,784.61/x
  3. Step 3: Cross multiply
    12,373.25x = 17,075.10 × 6,784.61
  4. Step 4: Simplify right side
    12,373.25x = 115,847,894.21
  5. Step 5: Solve for x
    x = 115,847,894.21/12,373.25
  6. Step 6: Final answer
    x = 9,362.77

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.