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Finding the Fourth Proportional to 11,700.13, 16,141.59 and 7,216.10

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Solution

The fourth proportional to 11,700.13, 16,141.59 and 7,216.10 is: 9,955.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,700.13 : 16,141.59 = 7,216.10 : x
  2. Step 2: Convert to fraction form
    11,700.13/16,141.59 = 7,216.10/x
  3. Step 3: Cross multiply
    11,700.13x = 16,141.59 × 7,216.10
  4. Step 4: Simplify right side
    11,700.13x = 116,479,327.60
  5. Step 5: Solve for x
    x = 116,479,327.60/11,700.13
  6. Step 6: Final answer
    x = 9,955.39

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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.