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Finding the Fourth Proportional to 11,503.90, 15,871.21 and 7,527.34

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Solution

The fourth proportional to 11,503.90, 15,871.21 and 7,527.34 is: 10,385.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,503.90 : 15,871.21 = 7,527.34 : x
  2. Step 2: Convert to fraction form
    11,503.90/15,871.21 = 7,527.34/x
  3. Step 3: Cross multiply
    11,503.90x = 15,871.21 × 7,527.34
  4. Step 4: Simplify right side
    11,503.90x = 119,467,993.88
  5. Step 5: Solve for x
    x = 119,467,993.88/11,503.90
  6. Step 6: Final answer
    x = 10,385.00

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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.