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Finding the Fourth Proportional to 8,322.60, 12,457.80 and 4,569.24

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Solution

The fourth proportional to 8,322.60, 12,457.80 and 4,569.24 is: 6,839.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,322.60 : 12,457.80 = 4,569.24 : x
  2. Step 2: Convert to fraction form
    8,322.60/12,457.80 = 4,569.24/x
  3. Step 3: Cross multiply
    8,322.60x = 12,457.80 × 4,569.24
  4. Step 4: Simplify right side
    8,322.60x = 56,922,678.07
  5. Step 5: Solve for x
    x = 56,922,678.07/8,322.60
  6. Step 6: Final answer
    x = 6,839.53

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.