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Finding the Fourth Proportional to 11,813.32, 16,303.02 and 7,101.64

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Solution

The fourth proportional to 11,813.32, 16,303.02 and 7,101.64 is: 9,800.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,813.32 : 16,303.02 = 7,101.64 : x
  2. Step 2: Convert to fraction form
    11,813.32/16,303.02 = 7,101.64/x
  3. Step 3: Cross multiply
    11,813.32x = 16,303.02 × 7,101.64
  4. Step 4: Simplify right side
    11,813.32x = 115,778,178.95
  5. Step 5: Solve for x
    x = 115,778,178.95/11,813.32
  6. Step 6: Final answer
    x = 9,800.65

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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.