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Finding the Fourth Proportional to 10,653.84, 14,702.31 and 6,178.46

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Solution

The fourth proportional to 10,653.84, 14,702.31 and 6,178.46 is: 8,526.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,653.84 : 14,702.31 = 6,178.46 : x
  2. Step 2: Convert to fraction form
    10,653.84/14,702.31 = 6,178.46/x
  3. Step 3: Cross multiply
    10,653.84x = 14,702.31 × 6,178.46
  4. Step 4: Simplify right side
    10,653.84x = 90,837,560.73
  5. Step 5: Solve for x
    x = 90,837,560.73/10,653.84
  6. Step 6: Final answer
    x = 8,526.27

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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.