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Finding the Fourth Proportional to 10,607.64, 14,638.14 and 5,892

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Solution

The fourth proportional to 10,607.64, 14,638.14 and 5,892 is: 8,130.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,607.64 : 14,638.14 = 5,892 : x
  2. Step 2: Convert to fraction form
    10,607.64/14,638.14 = 5,892/x
  3. Step 3: Cross multiply
    10,607.64x = 14,638.14 × 5,892
  4. Step 4: Simplify right side
    10,607.64x = 86,247,920.88
  5. Step 5: Solve for x
    x = 86,247,920.88/10,607.64
  6. Step 6: Final answer
    x = 8,130.74

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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.