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Finding the Fourth Proportional to 11,707.53, 16,154.30 and 6,925.10

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Solution

The fourth proportional to 11,707.53, 16,154.30 and 6,925.10 is: 9,555.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,707.53 : 16,154.30 = 6,925.10 : x
  2. Step 2: Convert to fraction form
    11,707.53/16,154.30 = 6,925.10/x
  3. Step 3: Cross multiply
    11,707.53x = 16,154.30 × 6,925.10
  4. Step 4: Simplify right side
    11,707.53x = 111,870,027.53
  5. Step 5: Solve for x
    x = 111,870,027.53/11,707.53
  6. Step 6: Final answer
    x = 9,555.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.