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Finding the Fourth Proportional to 7,411.02, 11,097.06 and 5,207.82

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Solution

The fourth proportional to 7,411.02, 11,097.06 and 5,207.82 is: 7,798.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,411.02 : 11,097.06 = 5,207.82 : x
  2. Step 2: Convert to fraction form
    7,411.02/11,097.06 = 5,207.82/x
  3. Step 3: Cross multiply
    7,411.02x = 11,097.06 × 5,207.82
  4. Step 4: Simplify right side
    7,411.02x = 57,791,491.01
  5. Step 5: Solve for x
    x = 57,791,491.01/7,411.02
  6. Step 6: Final answer
    x = 7,798.05

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.