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Finding the Fourth Proportional to 10,707.48, 16,062 and 2,916.36

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Solution

The fourth proportional to 10,707.48, 16,062 and 2,916.36 is: 4,374.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,707.48 : 16,062 = 2,916.36 : x
  2. Step 2: Convert to fraction form
    10,707.48/16,062 = 2,916.36/x
  3. Step 3: Cross multiply
    10,707.48x = 16,062 × 2,916.36
  4. Step 4: Simplify right side
    10,707.48x = 46,842,574.32
  5. Step 5: Solve for x
    x = 46,842,574.32/10,707.48
  6. Step 6: Final answer
    x = 4,374.75

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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.