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Finding the Fourth Proportional to 11,563.16, 15,957.21 and 6,527.60

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Solution

The fourth proportional to 11,563.16, 15,957.21 and 6,527.60 is: 9,008.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,563.16 : 15,957.21 = 6,527.60 : x
  2. Step 2: Convert to fraction form
    11,563.16/15,957.21 = 6,527.60/x
  3. Step 3: Cross multiply
    11,563.16x = 15,957.21 × 6,527.60
  4. Step 4: Simplify right side
    11,563.16x = 104,162,204.21
  5. Step 5: Solve for x
    x = 104,162,204.21/11,563.16
  6. Step 6: Final answer
    x = 9,008.11

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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.