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Finding the Fourth Proportional to 10,508.31, 15,762.43 and 3,113.34

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Solution

The fourth proportional to 10,508.31, 15,762.43 and 3,113.34 is: 4,670.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,508.31 : 15,762.43 = 3,113.34 : x
  2. Step 2: Convert to fraction form
    10,508.31/15,762.43 = 3,113.34/x
  3. Step 3: Cross multiply
    10,508.31x = 15,762.43 × 3,113.34
  4. Step 4: Simplify right side
    10,508.31x = 49,073,803.82
  5. Step 5: Solve for x
    x = 49,073,803.82/10,508.31
  6. Step 6: Final answer
    x = 4,670.00

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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.