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Finding the Fourth Proportional to 11,564.81, 15,959.85 and 6,529.92

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Solution

The fourth proportional to 11,564.81, 15,959.85 and 6,529.92 is: 9,011.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,564.81 : 15,959.85 = 6,529.92 : x
  2. Step 2: Convert to fraction form
    11,564.81/15,959.85 = 6,529.92/x
  3. Step 3: Cross multiply
    11,564.81x = 15,959.85 × 6,529.92
  4. Step 4: Simplify right side
    11,564.81x = 104,216,511.06
  5. Step 5: Solve for x
    x = 104,216,511.06/11,564.81
  6. Step 6: Final answer
    x = 9,011.52

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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.