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Finding the Fourth Proportional to 7,166.81, 10,746.74 and 3,005.71

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Solution

The fourth proportional to 7,166.81, 10,746.74 and 3,005.71 is: 4,507.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,166.81 : 10,746.74 = 3,005.71 : x
  2. Step 2: Convert to fraction form
    7,166.81/10,746.74 = 3,005.71/x
  3. Step 3: Cross multiply
    7,166.81x = 10,746.74 × 3,005.71
  4. Step 4: Simplify right side
    7,166.81x = 32,301,564.53
  5. Step 5: Solve for x
    x = 32,301,564.53/7,166.81
  6. Step 6: Final answer
    x = 4,507.10

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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.