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Finding the Fourth Proportional to 10,457.93, 15,686.92 and 4,452.46

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Solution

The fourth proportional to 10,457.93, 15,686.92 and 4,452.46 is: 6,678.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,457.93 : 15,686.92 = 4,452.46 : x
  2. Step 2: Convert to fraction form
    10,457.93/15,686.92 = 4,452.46/x
  3. Step 3: Cross multiply
    10,457.93x = 15,686.92 × 4,452.46
  4. Step 4: Simplify right side
    10,457.93x = 69,845,333.47
  5. Step 5: Solve for x
    x = 69,845,333.47/10,457.93
  6. Step 6: Final answer
    x = 6,678.69

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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.