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Finding the Fourth Proportional to 7,916.50, 10,923.24 and 4,559.46

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Solution

The fourth proportional to 7,916.50, 10,923.24 and 4,559.46 is: 6,291.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,916.50 : 10,923.24 = 4,559.46 : x
  2. Step 2: Convert to fraction form
    7,916.50/10,923.24 = 4,559.46/x
  3. Step 3: Cross multiply
    7,916.50x = 10,923.24 × 4,559.46
  4. Step 4: Simplify right side
    7,916.50x = 49,804,075.85
  5. Step 5: Solve for x
    x = 49,804,075.85/7,916.50
  6. Step 6: Final answer
    x = 6,291.17

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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.