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Finding the Fourth Proportional to 10,966.74, 15,130.53 and 6,713.37

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Solution

The fourth proportional to 10,966.74, 15,130.53 and 6,713.37 is: 9,262.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,966.74 : 15,130.53 = 6,713.37 : x
  2. Step 2: Convert to fraction form
    10,966.74/15,130.53 = 6,713.37/x
  3. Step 3: Cross multiply
    10,966.74x = 15,130.53 × 6,713.37
  4. Step 4: Simplify right side
    10,966.74x = 101,576,846.19
  5. Step 5: Solve for x
    x = 101,576,846.19/10,966.74
  6. Step 6: Final answer
    x = 9,262.26

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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.