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Finding the Fourth Proportional to 8,045.75, 11,981.47 and 7,907.24

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Solution

The fourth proportional to 8,045.75, 11,981.47 and 7,907.24 is: 11,775.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,045.75 : 11,981.47 = 7,907.24 : x
  2. Step 2: Convert to fraction form
    8,045.75/11,981.47 = 7,907.24/x
  3. Step 3: Cross multiply
    8,045.75x = 11,981.47 × 7,907.24
  4. Step 4: Simplify right side
    8,045.75x = 94,740,316.46
  5. Step 5: Solve for x
    x = 94,740,316.46/8,045.75
  6. Step 6: Final answer
    x = 11,775.20

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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.