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Finding the Fourth Proportional to 10,710.51, 16,068.05 and 3,314.81

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Solution

The fourth proportional to 10,710.51, 16,068.05 and 3,314.81 is: 4,972.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,710.51 : 16,068.05 = 3,314.81 : x
  2. Step 2: Convert to fraction form
    10,710.51/16,068.05 = 3,314.81/x
  3. Step 3: Cross multiply
    10,710.51x = 16,068.05 × 3,314.81
  4. Step 4: Simplify right side
    10,710.51x = 53,262,435.91
  5. Step 5: Solve for x
    x = 53,262,435.91/10,710.51
  6. Step 6: Final answer
    x = 4,972.91

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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.