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Finding the Fourth Proportional to 11,501.58, 15,863.04 and 7,464

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Solution

The fourth proportional to 11,501.58, 15,863.04 and 7,464 is: 10,294.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,501.58 : 15,863.04 = 7,464 : x
  2. Step 2: Convert to fraction form
    11,501.58/15,863.04 = 7,464/x
  3. Step 3: Cross multiply
    11,501.58x = 15,863.04 × 7,464
  4. Step 4: Simplify right side
    11,501.58x = 118,401,730.56
  5. Step 5: Solve for x
    x = 118,401,730.56/11,501.58
  6. Step 6: Final answer
    x = 10,294.39

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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.