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Finding the Fourth Proportional to 8,307.32, 12,461.10 and 2,465.60

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Solution

The fourth proportional to 8,307.32, 12,461.10 and 2,465.60 is: 3,698.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,307.32 : 12,461.10 = 2,465.60 : x
  2. Step 2: Convert to fraction form
    8,307.32/12,461.10 = 2,465.60/x
  3. Step 3: Cross multiply
    8,307.32x = 12,461.10 × 2,465.60
  4. Step 4: Simplify right side
    8,307.32x = 30,724,088.16
  5. Step 5: Solve for x
    x = 30,724,088.16/8,307.32
  6. Step 6: Final answer
    x = 3,698.44

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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.