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Finding the Fourth Proportional to 7,583.76, 10,461.96 and 6,534

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Solution

The fourth proportional to 7,583.76, 10,461.96 and 6,534 is: 9,013.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,583.76 : 10,461.96 = 6,534 : x
  2. Step 2: Convert to fraction form
    7,583.76/10,461.96 = 6,534/x
  3. Step 3: Cross multiply
    7,583.76x = 10,461.96 × 6,534
  4. Step 4: Simplify right side
    7,583.76x = 68,358,446.64
  5. Step 5: Solve for x
    x = 68,358,446.64/7,583.76
  6. Step 6: Final answer
    x = 9,013.79

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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.