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Finding the Fourth Proportional to 12,546.71, 17,313.25 and 7,510.83

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Solution

The fourth proportional to 12,546.71, 17,313.25 and 7,510.83 is: 10,364.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,546.71 : 17,313.25 = 7,510.83 : x
  2. Step 2: Convert to fraction form
    12,546.71/17,313.25 = 7,510.83/x
  3. Step 3: Cross multiply
    12,546.71x = 17,313.25 × 7,510.83
  4. Step 4: Simplify right side
    12,546.71x = 130,036,829.00
  5. Step 5: Solve for x
    x = 130,036,829.00/12,546.71
  6. Step 6: Final answer
    x = 10,364.22

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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.