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Finding the Fourth Proportional to 7,498.51, 10,348.75 and 5,606.83

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Solution

The fourth proportional to 7,498.51, 10,348.75 and 5,606.83 is: 7,738.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,498.51 : 10,348.75 = 5,606.83 : x
  2. Step 2: Convert to fraction form
    7,498.51/10,348.75 = 5,606.83/x
  3. Step 3: Cross multiply
    7,498.51x = 10,348.75 × 5,606.83
  4. Step 4: Simplify right side
    7,498.51x = 58,023,681.96
  5. Step 5: Solve for x
    x = 58,023,681.96/7,498.51
  6. Step 6: Final answer
    x = 7,738.03

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.