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Finding the Fourth Proportional to 11,547.86, 17,325.86 and 5,708.57

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Solution

The fourth proportional to 11,547.86, 17,325.86 and 5,708.57 is: 8,564.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,547.86 : 17,325.86 = 5,708.57 : x
  2. Step 2: Convert to fraction form
    11,547.86/17,325.86 = 5,708.57/x
  3. Step 3: Cross multiply
    11,547.86x = 17,325.86 × 5,708.57
  4. Step 4: Simplify right side
    11,547.86x = 98,905,769.45
  5. Step 5: Solve for x
    x = 98,905,769.45/11,547.86
  6. Step 6: Final answer
    x = 8,564.86

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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.