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Finding the Fourth Proportional to 10,712.13, 14,780.63 and 6,730.94

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Solution

The fourth proportional to 10,712.13, 14,780.63 and 6,730.94 is: 9,287.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,712.13 : 14,780.63 = 6,730.94 : x
  2. Step 2: Convert to fraction form
    10,712.13/14,780.63 = 6,730.94/x
  3. Step 3: Cross multiply
    10,712.13x = 14,780.63 × 6,730.94
  4. Step 4: Simplify right side
    10,712.13x = 99,487,426.13
  5. Step 5: Solve for x
    x = 99,487,426.13/10,712.13
  6. Step 6: Final answer
    x = 9,287.36

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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.