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Finding the Fourth Proportional to 11,815.75, 16,298.52 and 7,032.50

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Solution

The fourth proportional to 11,815.75, 16,298.52 and 7,032.50 is: 9,700.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,815.75 : 16,298.52 = 7,032.50 : x
  2. Step 2: Convert to fraction form
    11,815.75/16,298.52 = 7,032.50/x
  3. Step 3: Cross multiply
    11,815.75x = 16,298.52 × 7,032.50
  4. Step 4: Simplify right side
    11,815.75x = 114,619,249.32
  5. Step 5: Solve for x
    x = 114,619,249.32/11,815.75
  6. Step 6: Final answer
    x = 9,700.55

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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.