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Finding the Fourth Proportional to 8,746.53, 13,123.08 and 5,239.01

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Solution

The fourth proportional to 8,746.53, 13,123.08 and 5,239.01 is: 7,860.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,746.53 : 13,123.08 = 5,239.01 : x
  2. Step 2: Convert to fraction form
    8,746.53/13,123.08 = 5,239.01/x
  3. Step 3: Cross multiply
    8,746.53x = 13,123.08 × 5,239.01
  4. Step 4: Simplify right side
    8,746.53x = 68,751,881.74
  5. Step 5: Solve for x
    x = 68,751,881.74/8,746.53
  6. Step 6: Final answer
    x = 7,860.48

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Why These Related Problems?

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