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Finding the Fourth Proportional to 7,701.29, 11,549.95 and 3,021.47

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Solution

The fourth proportional to 7,701.29, 11,549.95 and 3,021.47 is: 4,531.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,701.29 : 11,549.95 = 3,021.47 : x
  2. Step 2: Convert to fraction form
    7,701.29/11,549.95 = 3,021.47/x
  3. Step 3: Cross multiply
    7,701.29x = 11,549.95 × 3,021.47
  4. Step 4: Simplify right side
    7,701.29x = 34,897,762.12
  5. Step 5: Solve for x
    x = 34,897,762.12/7,701.29
  6. Step 6: Final answer
    x = 4,531.42

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