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Finding the Fourth Proportional to 6,897.97, 10,349.45 and 4,262.40

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Solution

The fourth proportional to 6,897.97, 10,349.45 and 4,262.40 is: 6,395.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,897.97 : 10,349.45 = 4,262.40 : x
  2. Step 2: Convert to fraction form
    6,897.97/10,349.45 = 4,262.40/x
  3. Step 3: Cross multiply
    6,897.97x = 10,349.45 × 4,262.40
  4. Step 4: Simplify right side
    6,897.97x = 44,113,506.34
  5. Step 5: Solve for x
    x = 44,113,506.34/6,897.97
  6. Step 6: Final answer
    x = 6,395.15

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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.