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Finding the Fourth Proportional to 11,420.25, 15,754.89 and 6,702.40

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Solution

The fourth proportional to 11,420.25, 15,754.89 and 6,702.40 is: 9,246.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,420.25 : 15,754.89 = 6,702.40 : x
  2. Step 2: Convert to fraction form
    11,420.25/15,754.89 = 6,702.40/x
  3. Step 3: Cross multiply
    11,420.25x = 15,754.89 × 6,702.40
  4. Step 4: Simplify right side
    11,420.25x = 105,595,574.74
  5. Step 5: Solve for x
    x = 105,595,574.74/11,420.25
  6. Step 6: Final answer
    x = 9,246.35

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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.