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Finding the Fourth Proportional to 12,330.75, 17,015.90 and 7,558.64

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Solution

The fourth proportional to 12,330.75, 17,015.90 and 7,558.64 is: 10,430.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,330.75 : 17,015.90 = 7,558.64 : x
  2. Step 2: Convert to fraction form
    12,330.75/17,015.90 = 7,558.64/x
  3. Step 3: Cross multiply
    12,330.75x = 17,015.90 × 7,558.64
  4. Step 4: Simplify right side
    12,330.75x = 128,617,062.38
  5. Step 5: Solve for x
    x = 128,617,062.38/12,330.75
  6. Step 6: Final answer
    x = 10,430.60

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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.