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Finding the Fourth Proportional to 10,656.93, 14,702.70 and 6,178.21

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Solution

The fourth proportional to 10,656.93, 14,702.70 and 6,178.21 is: 8,523.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,656.93 : 14,702.70 = 6,178.21 : x
  2. Step 2: Convert to fraction form
    10,656.93/14,702.70 = 6,178.21/x
  3. Step 3: Cross multiply
    10,656.93x = 14,702.70 × 6,178.21
  4. Step 4: Simplify right side
    10,656.93x = 90,836,368.17
  5. Step 5: Solve for x
    x = 90,836,368.17/10,656.93
  6. Step 6: Final answer
    x = 8,523.69

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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.