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Finding the Fourth Proportional to 7,471.32, 10,317.42 and 4,681.68

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Solution

The fourth proportional to 7,471.32, 10,317.42 and 4,681.68 is: 6,465.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,471.32 : 10,317.42 = 4,681.68 : x
  2. Step 2: Convert to fraction form
    7,471.32/10,317.42 = 4,681.68/x
  3. Step 3: Cross multiply
    7,471.32x = 10,317.42 × 4,681.68
  4. Step 4: Simplify right side
    7,471.32x = 48,302,858.87
  5. Step 5: Solve for x
    x = 48,302,858.87/7,471.32
  6. Step 6: Final answer
    x = 6,465.10

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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.