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Finding the Fourth Proportional to 6,897.96, 10,347.06 and 3,001.80

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Solution

The fourth proportional to 6,897.96, 10,347.06 and 3,001.80 is: 4,502.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,897.96 : 10,347.06 = 3,001.80 : x
  2. Step 2: Convert to fraction form
    6,897.96/10,347.06 = 3,001.80/x
  3. Step 3: Cross multiply
    6,897.96x = 10,347.06 × 3,001.80
  4. Step 4: Simplify right side
    6,897.96x = 31,059,804.71
  5. Step 5: Solve for x
    x = 31,059,804.71/6,897.96
  6. Step 6: Final answer
    x = 4,502.75

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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.