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Finding the Fourth Proportional to 6,153.63, 8,488.78 and 4,658.96

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Solution

The fourth proportional to 6,153.63, 8,488.78 and 4,658.96 is: 6,426.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,153.63 : 8,488.78 = 4,658.96 : x
  2. Step 2: Convert to fraction form
    6,153.63/8,488.78 = 4,658.96/x
  3. Step 3: Cross multiply
    6,153.63x = 8,488.78 × 4,658.96
  4. Step 4: Simplify right side
    6,153.63x = 39,548,886.47
  5. Step 5: Solve for x
    x = 39,548,886.47/6,153.63
  6. Step 6: Final answer
    x = 6,426.92

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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.