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Finding the Fourth Proportional to 8,307.40, 12,465.15 and 4,411.75

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Solution

The fourth proportional to 8,307.40, 12,465.15 and 4,411.75 is: 6,619.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,307.40 : 12,465.15 = 4,411.75 : x
  2. Step 2: Convert to fraction form
    8,307.40/12,465.15 = 4,411.75/x
  3. Step 3: Cross multiply
    8,307.40x = 12,465.15 × 4,411.75
  4. Step 4: Simplify right side
    8,307.40x = 54,993,125.51
  5. Step 5: Solve for x
    x = 54,993,125.51/8,307.40
  6. Step 6: Final answer
    x = 6,619.78

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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.