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Finding the Fourth Proportional to 10,802.90, 16,191.41 and 7,056.47

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Solution

The fourth proportional to 10,802.90, 16,191.41 and 7,056.47 is: 10,576.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,802.90 : 16,191.41 = 7,056.47 : x
  2. Step 2: Convert to fraction form
    10,802.90/16,191.41 = 7,056.47/x
  3. Step 3: Cross multiply
    10,802.90x = 16,191.41 × 7,056.47
  4. Step 4: Simplify right side
    10,802.90x = 114,254,082.68
  5. Step 5: Solve for x
    x = 114,254,082.68/10,802.90
  6. Step 6: Final answer
    x = 10,576.25

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.