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Finding the Fourth Proportional to 11,552.09, 15,941.83 and 7,013.19

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Solution

The fourth proportional to 11,552.09, 15,941.83 and 7,013.19 is: 9,678.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,552.09 : 15,941.83 = 7,013.19 : x
  2. Step 2: Convert to fraction form
    11,552.09/15,941.83 = 7,013.19/x
  3. Step 3: Cross multiply
    11,552.09x = 15,941.83 × 7,013.19
  4. Step 4: Simplify right side
    11,552.09x = 111,803,082.74
  5. Step 5: Solve for x
    x = 111,803,082.74/11,552.09
  6. Step 6: Final answer
    x = 9,678.17

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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.