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Finding the Fourth Proportional to 10,607.17, 14,637.48 and 5,891.75

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Solution

The fourth proportional to 10,607.17, 14,637.48 and 5,891.75 is: 8,130.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,607.17 : 14,637.48 = 5,891.75 : x
  2. Step 2: Convert to fraction form
    10,607.17/14,637.48 = 5,891.75/x
  3. Step 3: Cross multiply
    10,607.17x = 14,637.48 × 5,891.75
  4. Step 4: Simplify right side
    10,607.17x = 86,240,447.88
  5. Step 5: Solve for x
    x = 86,240,447.88/10,607.17
  6. Step 6: Final answer
    x = 8,130.39

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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.