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Finding the Fourth Proportional to 10,653.32, 14,702.28 and 5,937.74

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Solution

The fourth proportional to 10,653.32, 14,702.28 and 5,937.74 is: 8,194.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,653.32 : 14,702.28 = 5,937.74 : x
  2. Step 2: Convert to fraction form
    10,653.32/14,702.28 = 5,937.74/x
  3. Step 3: Cross multiply
    10,653.32x = 14,702.28 × 5,937.74
  4. Step 4: Simplify right side
    10,653.32x = 87,298,316.05
  5. Step 5: Solve for x
    x = 87,298,316.05/10,653.32
  6. Step 6: Final answer
    x = 8,194.47

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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.