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Finding the Fourth Proportional to 8,307.01, 11,463.69 and 5,322.86

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Solution

The fourth proportional to 8,307.01, 11,463.69 and 5,322.86 is: 7,345.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,307.01 : 11,463.69 = 5,322.86 : x
  2. Step 2: Convert to fraction form
    8,307.01/11,463.69 = 5,322.86/x
  3. Step 3: Cross multiply
    8,307.01x = 11,463.69 × 5,322.86
  4. Step 4: Simplify right side
    8,307.01x = 61,019,616.95
  5. Step 5: Solve for x
    x = 61,019,616.95/8,307.01
  6. Step 6: Final answer
    x = 7,345.56

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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.