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Finding the Fourth Proportional to 28,461.07, 42,691.53 and 7,684.57

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Solution

The fourth proportional to 28,461.07, 42,691.53 and 7,684.57 is: 11,526.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,461.07 : 42,691.53 = 7,684.57 : x
  2. Step 2: Convert to fraction form
    28,461.07/42,691.53 = 7,684.57/x
  3. Step 3: Cross multiply
    28,461.07x = 42,691.53 × 7,684.57
  4. Step 4: Simplify right side
    28,461.07x = 328,065,837.23
  5. Step 5: Solve for x
    x = 328,065,837.23/28,461.07
  6. Step 6: Final answer
    x = 11,526.83

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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.