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Finding the Fourth Proportional to 10,956.86, 15,127.54 and 9,775.88

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Solution

The fourth proportional to 10,956.86, 15,127.54 and 9,775.88 is: 13,497.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,956.86 : 15,127.54 = 9,775.88 : x
  2. Step 2: Convert to fraction form
    10,956.86/15,127.54 = 9,775.88/x
  3. Step 3: Cross multiply
    10,956.86x = 15,127.54 × 9,775.88
  4. Step 4: Simplify right side
    10,956.86x = 147,885,015.74
  5. Step 5: Solve for x
    x = 147,885,015.74/10,956.86
  6. Step 6: Final answer
    x = 13,497.03

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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.