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Finding the Fourth Proportional to 11,382.32, 17,071.56 and 3,590

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Solution

The fourth proportional to 11,382.32, 17,071.56 and 3,590 is: 5,384.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,382.32 : 17,071.56 = 3,590 : x
  2. Step 2: Convert to fraction form
    11,382.32/17,071.56 = 3,590/x
  3. Step 3: Cross multiply
    11,382.32x = 17,071.56 × 3,590
  4. Step 4: Simplify right side
    11,382.32x = 61,286,900.40
  5. Step 5: Solve for x
    x = 61,286,900.40/11,382.32
  6. Step 6: Final answer
    x = 5,384.39

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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.