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Finding the Fourth Proportional to 7,160.04, 10,741.01 and 2,478.78

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Solution

The fourth proportional to 7,160.04, 10,741.01 and 2,478.78 is: 3,718.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,160.04 : 10,741.01 = 2,478.78 : x
  2. Step 2: Convert to fraction form
    7,160.04/10,741.01 = 2,478.78/x
  3. Step 3: Cross multiply
    7,160.04x = 10,741.01 × 2,478.78
  4. Step 4: Simplify right side
    7,160.04x = 26,624,588.37
  5. Step 5: Solve for x
    x = 26,624,588.37/7,160.04
  6. Step 6: Final answer
    x = 3,718.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.