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Finding the Fourth Proportional to 7,465.53, 10,298.16 and 4,666.17

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Solution

The fourth proportional to 7,465.53, 10,298.16 and 4,666.17 is: 6,436.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,465.53 : 10,298.16 = 4,666.17 : x
  2. Step 2: Convert to fraction form
    7,465.53/10,298.16 = 4,666.17/x
  3. Step 3: Cross multiply
    7,465.53x = 10,298.16 × 4,666.17
  4. Step 4: Simplify right side
    7,465.53x = 48,052,965.25
  5. Step 5: Solve for x
    x = 48,052,965.25/7,465.53
  6. Step 6: Final answer
    x = 6,436.64

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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.