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Finding the Fourth Proportional to 10,327.95, 15,498 and 4,088.57

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Solution

The fourth proportional to 10,327.95, 15,498 and 4,088.57 is: 6,135.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,327.95 : 15,498 = 4,088.57 : x
  2. Step 2: Convert to fraction form
    10,327.95/15,498 = 4,088.57/x
  3. Step 3: Cross multiply
    10,327.95x = 15,498 × 4,088.57
  4. Step 4: Simplify right side
    10,327.95x = 63,364,580.37
  5. Step 5: Solve for x
    x = 63,364,580.37/10,327.95
  6. Step 6: Final answer
    x = 6,135.25

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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.