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Finding the Fourth Proportional to 10,820.31, 14,930.10 and 6,570.52

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Solution

The fourth proportional to 10,820.31, 14,930.10 and 6,570.52 is: 9,066.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,820.31 : 14,930.10 = 6,570.52 : x
  2. Step 2: Convert to fraction form
    10,820.31/14,930.10 = 6,570.52/x
  3. Step 3: Cross multiply
    10,820.31x = 14,930.10 × 6,570.52
  4. Step 4: Simplify right side
    10,820.31x = 98,098,483.33
  5. Step 5: Solve for x
    x = 98,098,483.33/10,820.31
  6. Step 6: Final answer
    x = 9,066.15

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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.