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Finding the Fourth Proportional to 25,248.64, 37,871.52 and 7,718.08

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Solution

The fourth proportional to 25,248.64, 37,871.52 and 7,718.08 is: 11,576.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,248.64 : 37,871.52 = 7,718.08 : x
  2. Step 2: Convert to fraction form
    25,248.64/37,871.52 = 7,718.08/x
  3. Step 3: Cross multiply
    25,248.64x = 37,871.52 × 7,718.08
  4. Step 4: Simplify right side
    25,248.64x = 292,295,421.08
  5. Step 5: Solve for x
    x = 292,295,421.08/25,248.64
  6. Step 6: Final answer
    x = 11,576.68

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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.