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Finding the Fourth Proportional to 11,206.15, 15,458.02 and 7,007.11

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Solution

The fourth proportional to 11,206.15, 15,458.02 and 7,007.11 is: 9,665.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,206.15 : 15,458.02 = 7,007.11 : x
  2. Step 2: Convert to fraction form
    11,206.15/15,458.02 = 7,007.11/x
  3. Step 3: Cross multiply
    11,206.15x = 15,458.02 × 7,007.11
  4. Step 4: Simplify right side
    11,206.15x = 108,316,029.77
  5. Step 5: Solve for x
    x = 108,316,029.77/11,206.15
  6. Step 6: Final answer
    x = 9,665.77

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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.