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Finding the Fourth Proportional to 11,655.46, 17,484.91 and 4,258.19

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Solution

The fourth proportional to 11,655.46, 17,484.91 and 4,258.19 is: 6,387.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,655.46 : 17,484.91 = 4,258.19 : x
  2. Step 2: Convert to fraction form
    11,655.46/17,484.91 = 4,258.19/x
  3. Step 3: Cross multiply
    11,655.46x = 17,484.91 × 4,258.19
  4. Step 4: Simplify right side
    11,655.46x = 74,453,960.20
  5. Step 5: Solve for x
    x = 74,453,960.20/11,655.46
  6. Step 6: Final answer
    x = 6,387.91

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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.