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Finding the Fourth Proportional to 7,538.49, 11,263.11 and 7,280.10

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Solution

The fourth proportional to 7,538.49, 11,263.11 and 7,280.10 is: 10,877.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,538.49 : 11,263.11 = 7,280.10 : x
  2. Step 2: Convert to fraction form
    7,538.49/11,263.11 = 7,280.10/x
  3. Step 3: Cross multiply
    7,538.49x = 11,263.11 × 7,280.10
  4. Step 4: Simplify right side
    7,538.49x = 81,996,567.11
  5. Step 5: Solve for x
    x = 81,996,567.11/7,538.49
  6. Step 6: Final answer
    x = 10,877.05

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.