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Finding the Fourth Proportional to 7,087.95, 10,624.14 and 2,925.81

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Solution

The fourth proportional to 7,087.95, 10,624.14 and 2,925.81 is: 4,385.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,087.95 : 10,624.14 = 2,925.81 : x
  2. Step 2: Convert to fraction form
    7,087.95/10,624.14 = 2,925.81/x
  3. Step 3: Cross multiply
    7,087.95x = 10,624.14 × 2,925.81
  4. Step 4: Simplify right side
    7,087.95x = 31,084,215.05
  5. Step 5: Solve for x
    x = 31,084,215.05/7,087.95
  6. Step 6: Final answer
    x = 4,385.50

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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.