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Finding the Fourth Proportional to 10,870.43, 16,307.73 and 4,630.32

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Solution

The fourth proportional to 10,870.43, 16,307.73 and 4,630.32 is: 6,946.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,870.43 : 16,307.73 = 4,630.32 : x
  2. Step 2: Convert to fraction form
    10,870.43/16,307.73 = 4,630.32/x
  3. Step 3: Cross multiply
    10,870.43x = 16,307.73 × 4,630.32
  4. Step 4: Simplify right side
    10,870.43x = 75,510,008.37
  5. Step 5: Solve for x
    x = 75,510,008.37/10,870.43
  6. Step 6: Final answer
    x = 6,946.37

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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.