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Finding the Fourth Proportional to 7,569.35, 10,446.01 and 4,583.50

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Solution

The fourth proportional to 7,569.35, 10,446.01 and 4,583.50 is: 6,325.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,569.35 : 10,446.01 = 4,583.50 : x
  2. Step 2: Convert to fraction form
    7,569.35/10,446.01 = 4,583.50/x
  3. Step 3: Cross multiply
    7,569.35x = 10,446.01 × 4,583.50
  4. Step 4: Simplify right side
    7,569.35x = 47,879,263.92
  5. Step 5: Solve for x
    x = 47,879,263.92/7,569.35
  6. Step 6: Final answer
    x = 6,325.41

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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.