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Finding the Fourth Proportional to 10,702.28, 16,045.26 and 7,405.88

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Solution

The fourth proportional to 10,702.28, 16,045.26 and 7,405.88 is: 11,103.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,702.28 : 16,045.26 = 7,405.88 : x
  2. Step 2: Convert to fraction form
    10,702.28/16,045.26 = 7,405.88/x
  3. Step 3: Cross multiply
    10,702.28x = 16,045.26 × 7,405.88
  4. Step 4: Simplify right side
    10,702.28x = 118,829,270.13
  5. Step 5: Solve for x
    x = 118,829,270.13/10,702.28
  6. Step 6: Final answer
    x = 11,103.17

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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.