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Finding the Fourth Proportional to 11,353.32, 17,024.71 and 6,284.10

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Solution

The fourth proportional to 11,353.32, 17,024.71 and 6,284.10 is: 9,423.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,353.32 : 17,024.71 = 6,284.10 : x
  2. Step 2: Convert to fraction form
    11,353.32/17,024.71 = 6,284.10/x
  3. Step 3: Cross multiply
    11,353.32x = 17,024.71 × 6,284.10
  4. Step 4: Simplify right side
    11,353.32x = 106,984,980.11
  5. Step 5: Solve for x
    x = 106,984,980.11/11,353.32
  6. Step 6: Final answer
    x = 9,423.23

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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.