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Finding the Fourth Proportional to 10,588.51, 15,882.02 and 3,569.12

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Solution

The fourth proportional to 10,588.51, 15,882.02 and 3,569.12 is: 5,353.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,588.51 : 15,882.02 = 3,569.12 : x
  2. Step 2: Convert to fraction form
    10,588.51/15,882.02 = 3,569.12/x
  3. Step 3: Cross multiply
    10,588.51x = 15,882.02 × 3,569.12
  4. Step 4: Simplify right side
    10,588.51x = 56,684,835.22
  5. Step 5: Solve for x
    x = 56,684,835.22/10,588.51
  6. Step 6: Final answer
    x = 5,353.43

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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.