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Finding the Fourth Proportional to 10,117.98, 15,184.84 and 7,019.74

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Solution

The fourth proportional to 10,117.98, 15,184.84 and 7,019.74 is: 10,535.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,117.98 : 15,184.84 = 7,019.74 : x
  2. Step 2: Convert to fraction form
    10,117.98/15,184.84 = 7,019.74/x
  3. Step 3: Cross multiply
    10,117.98x = 15,184.84 × 7,019.74
  4. Step 4: Simplify right side
    10,117.98x = 106,593,628.74
  5. Step 5: Solve for x
    x = 106,593,628.74/10,117.98
  6. Step 6: Final answer
    x = 10,535.07

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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.