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Finding the Fourth Proportional to 10,702.41, 14,738.70 and 7,713.51

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Solution

The fourth proportional to 10,702.41, 14,738.70 and 7,713.51 is: 10,622.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,702.41 : 14,738.70 = 7,713.51 : x
  2. Step 2: Convert to fraction form
    10,702.41/14,738.70 = 7,713.51/x
  3. Step 3: Cross multiply
    10,702.41x = 14,738.70 × 7,713.51
  4. Step 4: Simplify right side
    10,702.41x = 113,687,109.84
  5. Step 5: Solve for x
    x = 113,687,109.84/10,702.41
  6. Step 6: Final answer
    x = 10,622.57

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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.