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Finding the Fourth Proportional to 7,702.51, 11,547.09 and 3,748.27

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Solution

The fourth proportional to 7,702.51, 11,547.09 and 3,748.27 is: 5,619.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,702.51 : 11,547.09 = 3,748.27 : x
  2. Step 2: Convert to fraction form
    7,702.51/11,547.09 = 3,748.27/x
  3. Step 3: Cross multiply
    7,702.51x = 11,547.09 × 3,748.27
  4. Step 4: Simplify right side
    7,702.51x = 43,281,611.03
  5. Step 5: Solve for x
    x = 43,281,611.03/7,702.51
  6. Step 6: Final answer
    x = 5,619.16

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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.