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Finding the Fourth Proportional to 11,385.96, 15,702.76 and 7,405.60

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Solution

The fourth proportional to 11,385.96, 15,702.76 and 7,405.60 is: 10,213.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,385.96 : 15,702.76 = 7,405.60 : x
  2. Step 2: Convert to fraction form
    11,385.96/15,702.76 = 7,405.60/x
  3. Step 3: Cross multiply
    11,385.96x = 15,702.76 × 7,405.60
  4. Step 4: Simplify right side
    11,385.96x = 116,288,359.46
  5. Step 5: Solve for x
    x = 116,288,359.46/11,385.96
  6. Step 6: Final answer
    x = 10,213.31

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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.