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Finding the Fourth Proportional to 7,511.63, 10,368.51 and 5,274.06

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Solution

The fourth proportional to 7,511.63, 10,368.51 and 5,274.06 is: 7,279.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,511.63 : 10,368.51 = 5,274.06 : x
  2. Step 2: Convert to fraction form
    7,511.63/10,368.51 = 5,274.06/x
  3. Step 3: Cross multiply
    7,511.63x = 10,368.51 × 5,274.06
  4. Step 4: Simplify right side
    7,511.63x = 54,684,143.85
  5. Step 5: Solve for x
    x = 54,684,143.85/7,511.63
  6. Step 6: Final answer
    x = 7,279.93

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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.