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Finding the Fourth Proportional to 7,702.64, 11,547 and 4,000.56

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Solution

The fourth proportional to 7,702.64, 11,547 and 4,000.56 is: 5,997.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,702.64 : 11,547 = 4,000.56 : x
  2. Step 2: Convert to fraction form
    7,702.64/11,547 = 4,000.56/x
  3. Step 3: Cross multiply
    7,702.64x = 11,547 × 4,000.56
  4. Step 4: Simplify right side
    7,702.64x = 46,194,466.32
  5. Step 5: Solve for x
    x = 46,194,466.32/7,702.64
  6. Step 6: Final answer
    x = 5,997.23

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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.