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Finding the Fourth Proportional to 11,807.19, 16,298.34 and 7,829.64

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Solution

The fourth proportional to 11,807.19, 16,298.34 and 7,829.64 is: 10,807.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,807.19 : 16,298.34 = 7,829.64 : x
  2. Step 2: Convert to fraction form
    11,807.19/16,298.34 = 7,829.64/x
  3. Step 3: Cross multiply
    11,807.19x = 16,298.34 × 7,829.64
  4. Step 4: Simplify right side
    11,807.19x = 127,610,014.16
  5. Step 5: Solve for x
    x = 127,610,014.16/11,807.19
  6. Step 6: Final answer
    x = 10,807.83

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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.