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Finding the Fourth Proportional to 8,317.29, 12,482.45 and 5,802.12

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Solution

The fourth proportional to 8,317.29, 12,482.45 and 5,802.12 is: 8,707.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,317.29 : 12,482.45 = 5,802.12 : x
  2. Step 2: Convert to fraction form
    8,317.29/12,482.45 = 5,802.12/x
  3. Step 3: Cross multiply
    8,317.29x = 12,482.45 × 5,802.12
  4. Step 4: Simplify right side
    8,317.29x = 72,424,629.06
  5. Step 5: Solve for x
    x = 72,424,629.06/8,317.29
  6. Step 6: Final answer
    x = 8,707.72

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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.