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Finding the Fourth Proportional to 7,465.41, 10,297.98 and 4,666.05

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Solution

The fourth proportional to 7,465.41, 10,297.98 and 4,666.05 is: 6,436.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,465.41 : 10,297.98 = 4,666.05 : x
  2. Step 2: Convert to fraction form
    7,465.41/10,297.98 = 4,666.05/x
  3. Step 3: Cross multiply
    7,465.41x = 10,297.98 × 4,666.05
  4. Step 4: Simplify right side
    7,465.41x = 48,050,889.58
  5. Step 5: Solve for x
    x = 48,050,889.58/7,465.41
  6. Step 6: Final answer
    x = 6,436.47

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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.