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Finding the Fourth Proportional to 10,802.81, 14,920.29 and 7,211.52

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Solution

The fourth proportional to 10,802.81, 14,920.29 and 7,211.52 is: 9,960.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,802.81 : 14,920.29 = 7,211.52 : x
  2. Step 2: Convert to fraction form
    10,802.81/14,920.29 = 7,211.52/x
  3. Step 3: Cross multiply
    10,802.81x = 14,920.29 × 7,211.52
  4. Step 4: Simplify right side
    10,802.81x = 107,597,984.25
  5. Step 5: Solve for x
    x = 107,597,984.25/10,802.81
  6. Step 6: Final answer
    x = 9,960.18

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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.