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Finding the Fourth Proportional to 11,549.12, 15,935.03 and 7,011.69

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Solution

The fourth proportional to 11,549.12, 15,935.03 and 7,011.69 is: 9,674.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,549.12 : 15,935.03 = 7,011.69 : x
  2. Step 2: Convert to fraction form
    11,549.12/15,935.03 = 7,011.69/x
  3. Step 3: Cross multiply
    11,549.12x = 15,935.03 × 7,011.69
  4. Step 4: Simplify right side
    11,549.12x = 111,731,567.79
  5. Step 5: Solve for x
    x = 111,731,567.79/11,549.12
  6. Step 6: Final answer
    x = 9,674.47

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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.