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Finding the Fourth Proportional to 10,477.08, 14,441.58 and 7,950.96

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Solution

The fourth proportional to 10,477.08, 14,441.58 and 7,950.96 is: 10,959.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,477.08 : 14,441.58 = 7,950.96 : x
  2. Step 2: Convert to fraction form
    10,477.08/14,441.58 = 7,950.96/x
  3. Step 3: Cross multiply
    10,477.08x = 14,441.58 × 7,950.96
  4. Step 4: Simplify right side
    10,477.08x = 114,824,424.92
  5. Step 5: Solve for x
    x = 114,824,424.92/10,477.08
  6. Step 6: Final answer
    x = 10,959.58

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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.