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Finding the Fourth Proportional to 10,731.40, 14,802.79 and 7,097.44

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Solution

The fourth proportional to 10,731.40, 14,802.79 and 7,097.44 is: 9,790.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,731.40 : 14,802.79 = 7,097.44 : x
  2. Step 2: Convert to fraction form
    10,731.40/14,802.79 = 7,097.44/x
  3. Step 3: Cross multiply
    10,731.40x = 14,802.79 × 7,097.44
  4. Step 4: Simplify right side
    10,731.40x = 105,061,913.86
  5. Step 5: Solve for x
    x = 105,061,913.86/10,731.40
  6. Step 6: Final answer
    x = 9,790.14

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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.