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Finding the Fourth Proportional to 11,562.50, 15,958.14 and 7,088.72

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Solution

The fourth proportional to 11,562.50, 15,958.14 and 7,088.72 is: 9,783.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,562.50 : 15,958.14 = 7,088.72 : x
  2. Step 2: Convert to fraction form
    11,562.50/15,958.14 = 7,088.72/x
  3. Step 3: Cross multiply
    11,562.50x = 15,958.14 × 7,088.72
  4. Step 4: Simplify right side
    11,562.50x = 113,122,786.18
  5. Step 5: Solve for x
    x = 113,122,786.18/11,562.50
  6. Step 6: Final answer
    x = 9,783.59

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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.