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Finding the Fourth Proportional to 12,810.02, 17,681.76 and 7,506.54

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Solution

The fourth proportional to 12,810.02, 17,681.76 and 7,506.54 is: 10,361.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,810.02 : 17,681.76 = 7,506.54 : x
  2. Step 2: Convert to fraction form
    12,810.02/17,681.76 = 7,506.54/x
  3. Step 3: Cross multiply
    12,810.02x = 17,681.76 × 7,506.54
  4. Step 4: Simplify right side
    12,810.02x = 132,728,838.71
  5. Step 5: Solve for x
    x = 132,728,838.71/12,810.02
  6. Step 6: Final answer
    x = 10,361.33

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.