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Finding the Fourth Proportional to 11,068.16, 16,603.80 and 4,142

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Solution

The fourth proportional to 11,068.16, 16,603.80 and 4,142 is: 6,213.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,068.16 : 16,603.80 = 4,142 : x
  2. Step 2: Convert to fraction form
    11,068.16/16,603.80 = 4,142/x
  3. Step 3: Cross multiply
    11,068.16x = 16,603.80 × 4,142
  4. Step 4: Simplify right side
    11,068.16x = 68,772,939.60
  5. Step 5: Solve for x
    x = 68,772,939.60/11,068.16
  6. Step 6: Final answer
    x = 6,213.58

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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.