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Finding the Fourth Proportional to 10,337.84, 14,266.52 and 6,356.68

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Solution

The fourth proportional to 10,337.84, 14,266.52 and 6,356.68 is: 8,772.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,337.84 : 14,266.52 = 6,356.68 : x
  2. Step 2: Convert to fraction form
    10,337.84/14,266.52 = 6,356.68/x
  3. Step 3: Cross multiply
    10,337.84x = 14,266.52 × 6,356.68
  4. Step 4: Simplify right side
    10,337.84x = 90,687,702.35
  5. Step 5: Solve for x
    x = 90,687,702.35/10,337.84
  6. Step 6: Final answer
    x = 8,772.40

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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.