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Finding the Fourth Proportional to 10,045.62, 13,862.94 and 6,065.95

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Solution

The fourth proportional to 10,045.62, 13,862.94 and 6,065.95 is: 8,371.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,045.62 : 13,862.94 = 6,065.95 : x
  2. Step 2: Convert to fraction form
    10,045.62/13,862.94 = 6,065.95/x
  3. Step 3: Cross multiply
    10,045.62x = 13,862.94 × 6,065.95
  4. Step 4: Simplify right side
    10,045.62x = 84,091,900.89
  5. Step 5: Solve for x
    x = 84,091,900.89/10,045.62
  6. Step 6: Final answer
    x = 8,371.00

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Why These Related Problems?

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