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Finding the Fourth Proportional to 11,547.36, 17,322.86 and 5,313.50

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Solution

The fourth proportional to 11,547.36, 17,322.86 and 5,313.50 is: 7,971.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,547.36 : 17,322.86 = 5,313.50 : x
  2. Step 2: Convert to fraction form
    11,547.36/17,322.86 = 5,313.50/x
  3. Step 3: Cross multiply
    11,547.36x = 17,322.86 × 5,313.50
  4. Step 4: Simplify right side
    11,547.36x = 92,045,008.24
  5. Step 5: Solve for x
    x = 92,045,008.24/11,547.36
  6. Step 6: Final answer
    x = 7,971.09

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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.