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Finding the Fourth Proportional to 6,681.36, 10,006.47 and 3,386.46

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Solution

The fourth proportional to 6,681.36, 10,006.47 and 3,386.46 is: 5,071.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,681.36 : 10,006.47 = 3,386.46 : x
  2. Step 2: Convert to fraction form
    6,681.36/10,006.47 = 3,386.46/x
  3. Step 3: Cross multiply
    6,681.36x = 10,006.47 × 3,386.46
  4. Step 4: Simplify right side
    6,681.36x = 33,886,510.40
  5. Step 5: Solve for x
    x = 33,886,510.40/6,681.36
  6. Step 6: Final answer
    x = 5,071.80

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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.