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Finding the Fourth Proportional to 11,830.96, 17,746.86 and 4,434.64

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Solution

The fourth proportional to 11,830.96, 17,746.86 and 4,434.64 is: 6,652.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,830.96 : 17,746.86 = 4,434.64 : x
  2. Step 2: Convert to fraction form
    11,830.96/17,746.86 = 4,434.64/x
  3. Step 3: Cross multiply
    11,830.96x = 17,746.86 × 4,434.64
  4. Step 4: Simplify right side
    11,830.96x = 78,700,935.23
  5. Step 5: Solve for x
    x = 78,700,935.23/11,830.96
  6. Step 6: Final answer
    x = 6,652.12

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.