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Finding the Fourth Proportional to 7,517.28, 10,417.64 and 7,411.57

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Solution

The fourth proportional to 7,517.28, 10,417.64 and 7,411.57 is: 10,271.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,517.28 : 10,417.64 = 7,411.57 : x
  2. Step 2: Convert to fraction form
    7,517.28/10,417.64 = 7,411.57/x
  3. Step 3: Cross multiply
    7,517.28x = 10,417.64 × 7,411.57
  4. Step 4: Simplify right side
    7,517.28x = 77,211,068.09
  5. Step 5: Solve for x
    x = 77,211,068.09/7,517.28
  6. Step 6: Final answer
    x = 10,271.14

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.