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Finding the Fourth Proportional to 10,920.82, 15,070.75 and 6,206.01

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Solution

The fourth proportional to 10,920.82, 15,070.75 and 6,206.01 is: 8,564.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,920.82 : 15,070.75 = 6,206.01 : x
  2. Step 2: Convert to fraction form
    10,920.82/15,070.75 = 6,206.01/x
  3. Step 3: Cross multiply
    10,920.82x = 15,070.75 × 6,206.01
  4. Step 4: Simplify right side
    10,920.82x = 93,529,225.21
  5. Step 5: Solve for x
    x = 93,529,225.21/10,920.82
  6. Step 6: Final answer
    x = 8,564.30

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.