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Finding the Fourth Proportional to 11,564.58, 15,959.10 and 6,529.86

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Solution

The fourth proportional to 11,564.58, 15,959.10 and 6,529.86 is: 9,011.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,564.58 : 15,959.10 = 6,529.86 : x
  2. Step 2: Convert to fraction form
    11,564.58/15,959.10 = 6,529.86/x
  3. Step 3: Cross multiply
    11,564.58x = 15,959.10 × 6,529.86
  4. Step 4: Simplify right side
    11,564.58x = 104,210,688.73
  5. Step 5: Solve for x
    x = 104,210,688.73/11,564.58
  6. Step 6: Final answer
    x = 9,011.20

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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.