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Finding the Fourth Proportional to 11,558.93, 15,950.40 and 7,082.07

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Solution

The fourth proportional to 11,558.93, 15,950.40 and 7,082.07 is: 9,772.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,558.93 : 15,950.40 = 7,082.07 : x
  2. Step 2: Convert to fraction form
    11,558.93/15,950.40 = 7,082.07/x
  3. Step 3: Cross multiply
    11,558.93x = 15,950.40 × 7,082.07
  4. Step 4: Simplify right side
    11,558.93x = 112,961,802.79
  5. Step 5: Solve for x
    x = 112,961,802.79/11,558.93
  6. Step 6: Final answer
    x = 9,772.69

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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.