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Finding the Fourth Proportional to 7,702.91, 11,547.67 and 3,748.65

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Solution

The fourth proportional to 7,702.91, 11,547.67 and 3,748.65 is: 5,619.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,702.91 : 11,547.67 = 3,748.65 : x
  2. Step 2: Convert to fraction form
    7,702.91/11,547.67 = 3,748.65/x
  3. Step 3: Cross multiply
    7,702.91x = 11,547.67 × 3,748.65
  4. Step 4: Simplify right side
    7,702.91x = 43,288,173.15
  5. Step 5: Solve for x
    x = 43,288,173.15/7,702.91
  6. Step 6: Final answer
    x = 5,619.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.