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Finding the Fourth Proportional to 10,732.96, 14,812.56 and 7,000.48

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Solution

The fourth proportional to 10,732.96, 14,812.56 and 7,000.48 is: 9,661.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,732.96 : 14,812.56 = 7,000.48 : x
  2. Step 2: Convert to fraction form
    10,732.96/14,812.56 = 7,000.48/x
  3. Step 3: Cross multiply
    10,732.96x = 14,812.56 × 7,000.48
  4. Step 4: Simplify right side
    10,732.96x = 103,695,030.03
  5. Step 5: Solve for x
    x = 103,695,030.03/10,732.96
  6. Step 6: Final answer
    x = 9,661.36

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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.