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Finding the Fourth Proportional to 7,862.36, 11,774.09 and 4,565.46

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Solution

The fourth proportional to 7,862.36, 11,774.09 and 4,565.46 is: 6,836.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,862.36 : 11,774.09 = 4,565.46 : x
  2. Step 2: Convert to fraction form
    7,862.36/11,774.09 = 4,565.46/x
  3. Step 3: Cross multiply
    7,862.36x = 11,774.09 × 4,565.46
  4. Step 4: Simplify right side
    7,862.36x = 53,754,148.35
  5. Step 5: Solve for x
    x = 53,754,148.35/7,862.36
  6. Step 6: Final answer
    x = 6,836.90

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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.