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Finding the Fourth Proportional to 11,564.32, 15,957.84 and 6,529.76

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Solution

The fourth proportional to 11,564.32, 15,957.84 and 6,529.76 is: 9,010.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,564.32 : 15,957.84 = 6,529.76 : x
  2. Step 2: Convert to fraction form
    11,564.32/15,957.84 = 6,529.76/x
  3. Step 3: Cross multiply
    11,564.32x = 15,957.84 × 6,529.76
  4. Step 4: Simplify right side
    11,564.32x = 104,200,865.32
  5. Step 5: Solve for x
    x = 104,200,865.32/11,564.32
  6. Step 6: Final answer
    x = 9,010.55

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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.