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Finding the Fourth Proportional to 7,569.40, 11,354.10 and 4,288.90

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Solution

The fourth proportional to 7,569.40, 11,354.10 and 4,288.90 is: 6,433.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,569.40 : 11,354.10 = 4,288.90 : x
  2. Step 2: Convert to fraction form
    7,569.40/11,354.10 = 4,288.90/x
  3. Step 3: Cross multiply
    7,569.40x = 11,354.10 × 4,288.90
  4. Step 4: Simplify right side
    7,569.40x = 48,696,599.49
  5. Step 5: Solve for x
    x = 48,696,599.49/7,569.40
  6. Step 6: Final answer
    x = 6,433.35

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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.