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Finding the Fourth Proportional to 7,658.31, 10,574.73 and 4,830.24

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Solution

The fourth proportional to 7,658.31, 10,574.73 and 4,830.24 is: 6,669.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,658.31 : 10,574.73 = 4,830.24 : x
  2. Step 2: Convert to fraction form
    7,658.31/10,574.73 = 4,830.24/x
  3. Step 3: Cross multiply
    7,658.31x = 10,574.73 × 4,830.24
  4. Step 4: Simplify right side
    7,658.31x = 51,078,483.84
  5. Step 5: Solve for x
    x = 51,078,483.84/7,658.31
  6. Step 6: Final answer
    x = 6,669.68

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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.