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Finding the Fourth Proportional to 12,683.61, 17,510.42 and 7,649.10

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Solution

The fourth proportional to 12,683.61, 17,510.42 and 7,649.10 is: 10,560.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,683.61 : 17,510.42 = 7,649.10 : x
  2. Step 2: Convert to fraction form
    12,683.61/17,510.42 = 7,649.10/x
  3. Step 3: Cross multiply
    12,683.61x = 17,510.42 × 7,649.10
  4. Step 4: Simplify right side
    12,683.61x = 133,938,953.62
  5. Step 5: Solve for x
    x = 133,938,953.62/12,683.61
  6. Step 6: Final answer
    x = 10,560.00

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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.