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Finding the Fourth Proportional to 7,463.50, 10,298.95 and 4,106.46

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Solution

The fourth proportional to 7,463.50, 10,298.95 and 4,106.46 is: 5,666.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,463.50 : 10,298.95 = 4,106.46 : x
  2. Step 2: Convert to fraction form
    7,463.50/10,298.95 = 4,106.46/x
  3. Step 3: Cross multiply
    7,463.50x = 10,298.95 × 4,106.46
  4. Step 4: Simplify right side
    7,463.50x = 42,292,226.22
  5. Step 5: Solve for x
    x = 42,292,226.22/7,463.50
  6. Step 6: Final answer
    x = 5,666.54

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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.