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Finding the Fourth Proportional to 10,812.29, 14,911.56 and 7,034.04

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Solution

The fourth proportional to 10,812.29, 14,911.56 and 7,034.04 is: 9,700.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,812.29 : 14,911.56 = 7,034.04 : x
  2. Step 2: Convert to fraction form
    10,812.29/14,911.56 = 7,034.04/x
  3. Step 3: Cross multiply
    10,812.29x = 14,911.56 × 7,034.04
  4. Step 4: Simplify right side
    10,812.29x = 104,888,509.50
  5. Step 5: Solve for x
    x = 104,888,509.50/10,812.29
  6. Step 6: Final answer
    x = 9,700.86

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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.