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Finding the Fourth Proportional to 11,016, 15,196.32 and 7,030.08

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Solution

The fourth proportional to 11,016, 15,196.32 and 7,030.08 is: 9,697.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,016 : 15,196.32 = 7,030.08 : x
  2. Step 2: Convert to fraction form
    11,016/15,196.32 = 7,030.08/x
  3. Step 3: Cross multiply
    11,016x = 15,196.32 × 7,030.08
  4. Step 4: Simplify right side
    11,016x = 106,831,345.31
  5. Step 5: Solve for x
    x = 106,831,345.31/11,016
  6. Step 6: Final answer
    x = 9,697.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.