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Finding the Fourth Proportional to 11,432.76, 15,772.77 and 7,182.06

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Solution

The fourth proportional to 11,432.76, 15,772.77 and 7,182.06 is: 9,908.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,432.76 : 15,772.77 = 7,182.06 : x
  2. Step 2: Convert to fraction form
    11,432.76/15,772.77 = 7,182.06/x
  3. Step 3: Cross multiply
    11,432.76x = 15,772.77 × 7,182.06
  4. Step 4: Simplify right side
    11,432.76x = 113,280,980.51
  5. Step 5: Solve for x
    x = 113,280,980.51/11,432.76
  6. Step 6: Final answer
    x = 9,908.45

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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.