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Finding the Fourth Proportional to 10,292.77, 15,460.26 and 6,787.81

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Solution

The fourth proportional to 10,292.77, 15,460.26 and 6,787.81 is: 10,195.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,292.77 : 15,460.26 = 6,787.81 : x
  2. Step 2: Convert to fraction form
    10,292.77/15,460.26 = 6,787.81/x
  3. Step 3: Cross multiply
    10,292.77x = 15,460.26 × 6,787.81
  4. Step 4: Simplify right side
    10,292.77x = 104,941,307.43
  5. Step 5: Solve for x
    x = 104,941,307.43/10,292.77
  6. Step 6: Final answer
    x = 10,195.63

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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.