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Finding the Fourth Proportional to 7,687.58, 10,603.17 and 4,700.97

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Solution

The fourth proportional to 7,687.58, 10,603.17 and 4,700.97 is: 6,483.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,687.58 : 10,603.17 = 4,700.97 : x
  2. Step 2: Convert to fraction form
    7,687.58/10,603.17 = 4,700.97/x
  3. Step 3: Cross multiply
    7,687.58x = 10,603.17 × 4,700.97
  4. Step 4: Simplify right side
    7,687.58x = 49,845,184.07
  5. Step 5: Solve for x
    x = 49,845,184.07/7,687.58
  6. Step 6: Final answer
    x = 6,483.86

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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.