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Finding the Fourth Proportional to 7,507.68, 11,263.35 and 5,290.83

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Solution

The fourth proportional to 7,507.68, 11,263.35 and 5,290.83 is: 7,937.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,507.68 : 11,263.35 = 5,290.83 : x
  2. Step 2: Convert to fraction form
    7,507.68/11,263.35 = 5,290.83/x
  3. Step 3: Cross multiply
    7,507.68x = 11,263.35 × 5,290.83
  4. Step 4: Simplify right side
    7,507.68x = 59,592,443.63
  5. Step 5: Solve for x
    x = 59,592,443.63/7,507.68
  6. Step 6: Final answer
    x = 7,937.54

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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.