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Finding the Fourth Proportional to 6,897.90, 10,368.45 and 6,768.30

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Solution

The fourth proportional to 6,897.90, 10,368.45 and 6,768.30 is: 10,173.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,897.90 : 10,368.45 = 6,768.30 : x
  2. Step 2: Convert to fraction form
    6,897.90/10,368.45 = 6,768.30/x
  3. Step 3: Cross multiply
    6,897.90x = 10,368.45 × 6,768.30
  4. Step 4: Simplify right side
    6,897.90x = 70,176,780.14
  5. Step 5: Solve for x
    x = 70,176,780.14/6,897.90
  6. Step 6: Final answer
    x = 10,173.64

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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.