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Finding the Fourth Proportional to 7,701.53, 10,627.47 and 4,345.17

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Solution

The fourth proportional to 7,701.53, 10,627.47 and 4,345.17 is: 5,995.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,701.53 : 10,627.47 = 4,345.17 : x
  2. Step 2: Convert to fraction form
    7,701.53/10,627.47 = 4,345.17/x
  3. Step 3: Cross multiply
    7,701.53x = 10,627.47 × 4,345.17
  4. Step 4: Simplify right side
    7,701.53x = 46,178,163.82
  5. Step 5: Solve for x
    x = 46,178,163.82/7,701.53
  6. Step 6: Final answer
    x = 5,995.98

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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.