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Finding the Fourth Proportional to 10,718.70, 16,079.94 and 3,698.16

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Solution

The fourth proportional to 10,718.70, 16,079.94 and 3,698.16 is: 5,547.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,718.70 : 16,079.94 = 3,698.16 : x
  2. Step 2: Convert to fraction form
    10,718.70/16,079.94 = 3,698.16/x
  3. Step 3: Cross multiply
    10,718.70x = 16,079.94 × 3,698.16
  4. Step 4: Simplify right side
    10,718.70x = 59,466,190.91
  5. Step 5: Solve for x
    x = 59,466,190.91/10,718.70
  6. Step 6: Final answer
    x = 5,547.89

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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.