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Finding the Fourth Proportional to 13,057.78, 19,590.04 and 5,660.53

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Solution

The fourth proportional to 13,057.78, 19,590.04 and 5,660.53 is: 8,492.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,057.78 : 19,590.04 = 5,660.53 : x
  2. Step 2: Convert to fraction form
    13,057.78/19,590.04 = 5,660.53/x
  3. Step 3: Cross multiply
    13,057.78x = 19,590.04 × 5,660.53
  4. Step 4: Simplify right side
    13,057.78x = 110,889,911.17
  5. Step 5: Solve for x
    x = 110,889,911.17/13,057.78
  6. Step 6: Final answer
    x = 8,492.25

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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.