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Finding the Fourth Proportional to 7,817.78, 10,787.53 and 4,460.40

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Solution

The fourth proportional to 7,817.78, 10,787.53 and 4,460.40 is: 6,154.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,817.78 : 10,787.53 = 4,460.40 : x
  2. Step 2: Convert to fraction form
    7,817.78/10,787.53 = 4,460.40/x
  3. Step 3: Cross multiply
    7,817.78x = 10,787.53 × 4,460.40
  4. Step 4: Simplify right side
    7,817.78x = 48,116,698.81
  5. Step 5: Solve for x
    x = 48,116,698.81/7,817.78
  6. Step 6: Final answer
    x = 6,154.78

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.