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Finding the Fourth Proportional to 12,515.12, 17,267.48 and 7,477.10

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Solution

The fourth proportional to 12,515.12, 17,267.48 and 7,477.10 is: 10,316.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,515.12 : 17,267.48 = 7,477.10 : x
  2. Step 2: Convert to fraction form
    12,515.12/17,267.48 = 7,477.10/x
  3. Step 3: Cross multiply
    12,515.12x = 17,267.48 × 7,477.10
  4. Step 4: Simplify right side
    12,515.12x = 129,110,674.71
  5. Step 5: Solve for x
    x = 129,110,674.71/12,515.12
  6. Step 6: Final answer
    x = 10,316.38

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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.