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Finding the Fourth Proportional to 10,457.98, 15,686.88 and 2,560.52

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Solution

The fourth proportional to 10,457.98, 15,686.88 and 2,560.52 is: 3,840.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,457.98 : 15,686.88 = 2,560.52 : x
  2. Step 2: Convert to fraction form
    10,457.98/15,686.88 = 2,560.52/x
  3. Step 3: Cross multiply
    10,457.98x = 15,686.88 × 2,560.52
  4. Step 4: Simplify right side
    10,457.98x = 40,166,569.98
  5. Step 5: Solve for x
    x = 40,166,569.98/10,457.98
  6. Step 6: Final answer
    x = 3,840.76

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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.