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Finding the Fourth Proportional to 28,460.66, 42,690.56 and 7,684.16

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Solution

The fourth proportional to 28,460.66, 42,690.56 and 7,684.16 is: 11,526.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,460.66 : 42,690.56 = 7,684.16 : x
  2. Step 2: Convert to fraction form
    28,460.66/42,690.56 = 7,684.16/x
  3. Step 3: Cross multiply
    28,460.66x = 42,690.56 × 7,684.16
  4. Step 4: Simplify right side
    28,460.66x = 328,041,093.53
  5. Step 5: Solve for x
    x = 328,041,093.53/28,460.66
  6. Step 6: Final answer
    x = 11,526.12

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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.