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Finding the Fourth Proportional to 11,702.22, 16,147.53 and 6,985.50

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Solution

The fourth proportional to 11,702.22, 16,147.53 and 6,985.50 is: 9,639.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,702.22 : 16,147.53 = 6,985.50 : x
  2. Step 2: Convert to fraction form
    11,702.22/16,147.53 = 6,985.50/x
  3. Step 3: Cross multiply
    11,702.22x = 16,147.53 × 6,985.50
  4. Step 4: Simplify right side
    11,702.22x = 112,798,570.82
  5. Step 5: Solve for x
    x = 112,798,570.82/11,702.22
  6. Step 6: Final answer
    x = 9,639.07

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.