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Finding the Fourth Proportional to 7,536.04, 11,301.74 and 5,210.98

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Solution

The fourth proportional to 7,536.04, 11,301.74 and 5,210.98 is: 7,814.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,536.04 : 11,301.74 = 5,210.98 : x
  2. Step 2: Convert to fraction form
    7,536.04/11,301.74 = 5,210.98/x
  3. Step 3: Cross multiply
    7,536.04x = 11,301.74 × 5,210.98
  4. Step 4: Simplify right side
    7,536.04x = 58,893,141.11
  5. Step 5: Solve for x
    x = 58,893,141.11/7,536.04
  6. Step 6: Final answer
    x = 7,814.87

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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.