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Finding the Fourth Proportional to 12,373.12, 17,075.08 and 6,784

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Solution

The fourth proportional to 12,373.12, 17,075.08 and 6,784 is: 9,362.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,373.12 : 17,075.08 = 6,784 : x
  2. Step 2: Convert to fraction form
    12,373.12/17,075.08 = 6,784/x
  3. Step 3: Cross multiply
    12,373.12x = 17,075.08 × 6,784
  4. Step 4: Simplify right side
    12,373.12x = 115,837,342.72
  5. Step 5: Solve for x
    x = 115,837,342.72/12,373.12
  6. Step 6: Final answer
    x = 9,362.02

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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.