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Finding the Fourth Proportional to 11,566.71, 15,960.61 and 6,530.31

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Solution

The fourth proportional to 11,566.71, 15,960.61 and 6,530.31 is: 9,011.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,566.71 : 15,960.61 = 6,530.31 : x
  2. Step 2: Convert to fraction form
    11,566.71/15,960.61 = 6,530.31/x
  3. Step 3: Cross multiply
    11,566.71x = 15,960.61 × 6,530.31
  4. Step 4: Simplify right side
    11,566.71x = 104,227,731.09
  5. Step 5: Solve for x
    x = 104,227,731.09/11,566.71
  6. Step 6: Final answer
    x = 9,011.01

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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.