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Finding the Fourth Proportional to 10,194.19, 14,068.01 and 5,948.17

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Solution

The fourth proportional to 10,194.19, 14,068.01 and 5,948.17 is: 8,208.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,194.19 : 14,068.01 = 5,948.17 : x
  2. Step 2: Convert to fraction form
    10,194.19/14,068.01 = 5,948.17/x
  3. Step 3: Cross multiply
    10,194.19x = 14,068.01 × 5,948.17
  4. Step 4: Simplify right side
    10,194.19x = 83,678,894.74
  5. Step 5: Solve for x
    x = 83,678,894.74/10,194.19
  6. Step 6: Final answer
    x = 8,208.49

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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.