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Finding the Fourth Proportional to 10,378.68, 14,338.18 and 6,802.13

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Solution

The fourth proportional to 10,378.68, 14,338.18 and 6,802.13 is: 9,397.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,378.68 : 14,338.18 = 6,802.13 : x
  2. Step 2: Convert to fraction form
    10,378.68/14,338.18 = 6,802.13/x
  3. Step 3: Cross multiply
    10,378.68x = 14,338.18 × 6,802.13
  4. Step 4: Simplify right side
    10,378.68x = 97,530,128.02
  5. Step 5: Solve for x
    x = 97,530,128.02/10,378.68
  6. Step 6: Final answer
    x = 9,397.16

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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.