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Finding the Fourth Proportional to 10,278.48, 14,184 and 5,802.18

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Solution

The fourth proportional to 10,278.48, 14,184 and 5,802.18 is: 8,006.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,278.48 : 14,184 = 5,802.18 : x
  2. Step 2: Convert to fraction form
    10,278.48/14,184 = 5,802.18/x
  3. Step 3: Cross multiply
    10,278.48x = 14,184 × 5,802.18
  4. Step 4: Simplify right side
    10,278.48x = 82,298,121.12
  5. Step 5: Solve for x
    x = 82,298,121.12/10,278.48
  6. Step 6: Final answer
    x = 8,006.84

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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.