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Finding the Fourth Proportional to 8,330.63, 12,442.74 and 7,538.76

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Solution

The fourth proportional to 8,330.63, 12,442.74 and 7,538.76 is: 11,259.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,330.63 : 12,442.74 = 7,538.76 : x
  2. Step 2: Convert to fraction form
    8,330.63/12,442.74 = 7,538.76/x
  3. Step 3: Cross multiply
    8,330.63x = 12,442.74 × 7,538.76
  4. Step 4: Simplify right side
    8,330.63x = 93,802,806.04
  5. Step 5: Solve for x
    x = 93,802,806.04/8,330.63
  6. Step 6: Final answer
    x = 11,259.99

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.