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Finding the Fourth Proportional to 11,417.32, 15,751.17 and 7,167.02

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Solution

The fourth proportional to 11,417.32, 15,751.17 and 7,167.02 is: 9,887.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,417.32 : 15,751.17 = 7,167.02 : x
  2. Step 2: Convert to fraction form
    11,417.32/15,751.17 = 7,167.02/x
  3. Step 3: Cross multiply
    11,417.32x = 15,751.17 × 7,167.02
  4. Step 4: Simplify right side
    11,417.32x = 112,888,871.66
  5. Step 5: Solve for x
    x = 112,888,871.66/11,417.32
  6. Step 6: Final answer
    x = 9,887.51

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.