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Finding the Fourth Proportional to 10,956.96, 15,140.64 and 7,807.68

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Solution

The fourth proportional to 10,956.96, 15,140.64 and 7,807.68 is: 10,788.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,956.96 : 15,140.64 = 7,807.68 : x
  2. Step 2: Convert to fraction form
    10,956.96/15,140.64 = 7,807.68/x
  3. Step 3: Cross multiply
    10,956.96x = 15,140.64 × 7,807.68
  4. Step 4: Simplify right side
    10,956.96x = 118,213,272.12
  5. Step 5: Solve for x
    x = 118,213,272.12/10,956.96
  6. Step 6: Final answer
    x = 10,788.88

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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.