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Finding the Fourth Proportional to 11,700.45, 17,547.03 and 5,853.87

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Solution

The fourth proportional to 11,700.45, 17,547.03 and 5,853.87 is: 8,778.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,700.45 : 17,547.03 = 5,853.87 : x
  2. Step 2: Convert to fraction form
    11,700.45/17,547.03 = 5,853.87/x
  3. Step 3: Cross multiply
    11,700.45x = 17,547.03 × 5,853.87
  4. Step 4: Simplify right side
    11,700.45x = 102,718,032.51
  5. Step 5: Solve for x
    x = 102,718,032.51/11,700.45
  6. Step 6: Final answer
    x = 8,778.98

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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.