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Finding the Fourth Proportional to 10,206.04, 15,307.98 and 3,280

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Solution

The fourth proportional to 10,206.04, 15,307.98 and 3,280 is: 4,919.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,206.04 : 15,307.98 = 3,280 : x
  2. Step 2: Convert to fraction form
    10,206.04/15,307.98 = 3,280/x
  3. Step 3: Cross multiply
    10,206.04x = 15,307.98 × 3,280
  4. Step 4: Simplify right side
    10,206.04x = 50,210,174.40
  5. Step 5: Solve for x
    x = 50,210,174.40/10,206.04
  6. Step 6: Final answer
    x = 4,919.65

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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.