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Finding the Fourth Proportional to 7,182.06, 9,916.16 and 5,500.50

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Solution

The fourth proportional to 7,182.06, 9,916.16 and 5,500.50 is: 7,594.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,182.06 : 9,916.16 = 5,500.50 : x
  2. Step 2: Convert to fraction form
    7,182.06/9,916.16 = 5,500.50/x
  3. Step 3: Cross multiply
    7,182.06x = 9,916.16 × 5,500.50
  4. Step 4: Simplify right side
    7,182.06x = 54,543,810.58
  5. Step 5: Solve for x
    x = 54,543,810.58/7,182.06
  6. Step 6: Final answer
    x = 7,594.45

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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.