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Finding the Fourth Proportional to 11,182.49, 15,430.59 and 6,706.43

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Solution

The fourth proportional to 11,182.49, 15,430.59 and 6,706.43 is: 9,254.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,182.49 : 15,430.59 = 6,706.43 : x
  2. Step 2: Convert to fraction form
    11,182.49/15,430.59 = 6,706.43/x
  3. Step 3: Cross multiply
    11,182.49x = 15,430.59 × 6,706.43
  4. Step 4: Simplify right side
    11,182.49x = 103,484,094.54
  5. Step 5: Solve for x
    x = 103,484,094.54/11,182.49
  6. Step 6: Final answer
    x = 9,254.12

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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.