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Finding the Fourth Proportional to 15,762.56, 23,646.40 and 4,816

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Solution

The fourth proportional to 15,762.56, 23,646.40 and 4,816 is: 7,224.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,762.56 : 23,646.40 = 4,816 : x
  2. Step 2: Convert to fraction form
    15,762.56/23,646.40 = 4,816/x
  3. Step 3: Cross multiply
    15,762.56x = 23,646.40 × 4,816
  4. Step 4: Simplify right side
    15,762.56x = 113,881,062.40
  5. Step 5: Solve for x
    x = 113,881,062.40/15,762.56
  6. Step 6: Final answer
    x = 7,224.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.