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Finding the Fourth Proportional to 8,569.32, 12,850.56 and 3,301.40

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Solution

The fourth proportional to 8,569.32, 12,850.56 and 3,301.40 is: 4,950.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,569.32 : 12,850.56 = 3,301.40 : x
  2. Step 2: Convert to fraction form
    8,569.32/12,850.56 = 3,301.40/x
  3. Step 3: Cross multiply
    8,569.32x = 12,850.56 × 3,301.40
  4. Step 4: Simplify right side
    8,569.32x = 42,424,774.53
  5. Step 5: Solve for x
    x = 42,424,774.53/8,569.32
  6. Step 6: Final answer
    x = 4,950.77

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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.