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Finding the Fourth Proportional to 10,457.54, 15,682.14 and 4,610

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Solution

The fourth proportional to 10,457.54, 15,682.14 and 4,610 is: 6,913.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,457.54 : 15,682.14 = 4,610 : x
  2. Step 2: Convert to fraction form
    10,457.54/15,682.14 = 4,610/x
  3. Step 3: Cross multiply
    10,457.54x = 15,682.14 × 4,610
  4. Step 4: Simplify right side
    10,457.54x = 72,294,665.40
  5. Step 5: Solve for x
    x = 72,294,665.40/10,457.54
  6. Step 6: Final answer
    x = 6,913.16

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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.