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Finding the Fourth Proportional to 12,358.53, 17,055.50 and 7,055.06

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Solution

The fourth proportional to 12,358.53, 17,055.50 and 7,055.06 is: 9,736.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,358.53 : 17,055.50 = 7,055.06 : x
  2. Step 2: Convert to fraction form
    12,358.53/17,055.50 = 7,055.06/x
  3. Step 3: Cross multiply
    12,358.53x = 17,055.50 × 7,055.06
  4. Step 4: Simplify right side
    12,358.53x = 120,327,455.28
  5. Step 5: Solve for x
    x = 120,327,455.28/12,358.53
  6. Step 6: Final answer
    x = 9,736.39

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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.