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Finding the Fourth Proportional to 8,407.26, 11,602.05 and 4,681.26

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Solution

The fourth proportional to 8,407.26, 11,602.05 and 4,681.26 is: 6,460.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,407.26 : 11,602.05 = 4,681.26 : x
  2. Step 2: Convert to fraction form
    8,407.26/11,602.05 = 4,681.26/x
  3. Step 3: Cross multiply
    8,407.26x = 11,602.05 × 4,681.26
  4. Step 4: Simplify right side
    8,407.26x = 54,312,212.58
  5. Step 5: Solve for x
    x = 54,312,212.58/8,407.26
  6. Step 6: Final answer
    x = 6,460.16

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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.