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Finding the Fourth Proportional to 28,585.96, 42,877.62 and 7,809.40

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Solution

The fourth proportional to 28,585.96, 42,877.62 and 7,809.40 is: 11,713.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,585.96 : 42,877.62 = 7,809.40 : x
  2. Step 2: Convert to fraction form
    28,585.96/42,877.62 = 7,809.40/x
  3. Step 3: Cross multiply
    28,585.96x = 42,877.62 × 7,809.40
  4. Step 4: Simplify right side
    28,585.96x = 334,848,485.63
  5. Step 5: Solve for x
    x = 334,848,485.63/28,585.96
  6. Step 6: Final answer
    x = 11,713.74

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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.