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Finding the Fourth Proportional to 11,527.50, 15,903.86 and 7,550.82

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Solution

The fourth proportional to 11,527.50, 15,903.86 and 7,550.82 is: 10,417.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,527.50 : 15,903.86 = 7,550.82 : x
  2. Step 2: Convert to fraction form
    11,527.50/15,903.86 = 7,550.82/x
  3. Step 3: Cross multiply
    11,527.50x = 15,903.86 × 7,550.82
  4. Step 4: Simplify right side
    11,527.50x = 120,087,184.17
  5. Step 5: Solve for x
    x = 120,087,184.17/11,527.50
  6. Step 6: Final answer
    x = 10,417.45

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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.