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Finding the Fourth Proportional to 10,685.75, 14,746.20 and 5,970.29

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Solution

The fourth proportional to 10,685.75, 14,746.20 and 5,970.29 is: 8,238.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,685.75 : 14,746.20 = 5,970.29 : x
  2. Step 2: Convert to fraction form
    10,685.75/14,746.20 = 5,970.29/x
  3. Step 3: Cross multiply
    10,685.75x = 14,746.20 × 5,970.29
  4. Step 4: Simplify right side
    10,685.75x = 88,039,090.40
  5. Step 5: Solve for x
    x = 88,039,090.40/10,685.75
  6. Step 6: Final answer
    x = 8,238.92

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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.