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Finding the Fourth Proportional to 6,748.47, 10,123.25 and 2,590.47

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Solution

The fourth proportional to 6,748.47, 10,123.25 and 2,590.47 is: 3,885.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,748.47 : 10,123.25 = 2,590.47 : x
  2. Step 2: Convert to fraction form
    6,748.47/10,123.25 = 2,590.47/x
  3. Step 3: Cross multiply
    6,748.47x = 10,123.25 × 2,590.47
  4. Step 4: Simplify right side
    6,748.47x = 26,223,962.48
  5. Step 5: Solve for x
    x = 26,223,962.48/6,748.47
  6. Step 6: Final answer
    x = 3,885.91

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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.