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Finding the Fourth Proportional to 7,804.17, 10,760.56 and 6,307.46

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Solution

The fourth proportional to 7,804.17, 10,760.56 and 6,307.46 is: 8,696.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,804.17 : 10,760.56 = 6,307.46 : x
  2. Step 2: Convert to fraction form
    7,804.17/10,760.56 = 6,307.46/x
  3. Step 3: Cross multiply
    7,804.17x = 10,760.56 × 6,307.46
  4. Step 4: Simplify right side
    7,804.17x = 67,871,812.91
  5. Step 5: Solve for x
    x = 67,871,812.91/7,804.17
  6. Step 6: Final answer
    x = 8,696.86

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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.