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Finding the Fourth Proportional to 7,465.63, 10,298.28 and 4,666.27

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Solution

The fourth proportional to 7,465.63, 10,298.28 and 4,666.27 is: 6,436.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,465.63 : 10,298.28 = 4,666.27 : x
  2. Step 2: Convert to fraction form
    7,465.63/10,298.28 = 4,666.27/x
  3. Step 3: Cross multiply
    7,465.63x = 10,298.28 × 4,666.27
  4. Step 4: Simplify right side
    7,465.63x = 48,054,529.27
  5. Step 5: Solve for x
    x = 48,054,529.27/7,465.63
  6. Step 6: Final answer
    x = 6,436.77

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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.