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Finding the Fourth Proportional to 28,460.57, 42,690.78 and 7,684.07

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Solution

The fourth proportional to 28,460.57, 42,690.78 and 7,684.07 is: 11,526.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,460.57 : 42,690.78 = 7,684.07 : x
  2. Step 2: Convert to fraction form
    28,460.57/42,690.78 = 7,684.07/x
  3. Step 3: Cross multiply
    28,460.57x = 42,690.78 × 7,684.07
  4. Step 4: Simplify right side
    28,460.57x = 328,038,728.42
  5. Step 5: Solve for x
    x = 328,038,728.42/28,460.57
  6. Step 6: Final answer
    x = 11,526.08

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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.