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Finding the Fourth Proportional to 10,145.88, 15,216.57 and 3,124.74

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Solution

The fourth proportional to 10,145.88, 15,216.57 and 3,124.74 is: 4,686.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,145.88 : 15,216.57 = 3,124.74 : x
  2. Step 2: Convert to fraction form
    10,145.88/15,216.57 = 3,124.74/x
  3. Step 3: Cross multiply
    10,145.88x = 15,216.57 × 3,124.74
  4. Step 4: Simplify right side
    10,145.88x = 47,547,824.94
  5. Step 5: Solve for x
    x = 47,547,824.94/10,145.88
  6. Step 6: Final answer
    x = 4,686.42

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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.