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Finding the Fourth Proportional to 11,182.14, 15,430.95 and 6,703.25

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Solution

The fourth proportional to 11,182.14, 15,430.95 and 6,703.25 is: 9,250.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,182.14 : 15,430.95 = 6,703.25 : x
  2. Step 2: Convert to fraction form
    11,182.14/15,430.95 = 6,703.25/x
  3. Step 3: Cross multiply
    11,182.14x = 15,430.95 × 6,703.25
  4. Step 4: Simplify right side
    11,182.14x = 103,437,438.43
  5. Step 5: Solve for x
    x = 103,437,438.43/11,182.14
  6. Step 6: Final answer
    x = 9,250.24

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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.