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Finding the Fourth Proportional to 11,563.60, 15,957.48 and 6,527.68

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Solution

The fourth proportional to 11,563.60, 15,957.48 and 6,527.68 is: 9,008.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,563.60 : 15,957.48 = 6,527.68 : x
  2. Step 2: Convert to fraction form
    11,563.60/15,957.48 = 6,527.68/x
  3. Step 3: Cross multiply
    11,563.60x = 15,957.48 × 6,527.68
  4. Step 4: Simplify right side
    11,563.60x = 104,165,323.05
  5. Step 5: Solve for x
    x = 104,165,323.05/11,563.60
  6. Step 6: Final answer
    x = 9,008.04

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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.