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Finding the Fourth Proportional to 7,125.79, 10,688.69 and 1,931.67

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Solution

The fourth proportional to 7,125.79, 10,688.69 and 1,931.67 is: 2,897.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,125.79 : 10,688.69 = 1,931.67 : x
  2. Step 2: Convert to fraction form
    7,125.79/10,688.69 = 1,931.67/x
  3. Step 3: Cross multiply
    7,125.79x = 10,688.69 × 1,931.67
  4. Step 4: Simplify right side
    7,125.79x = 20,646,958.71
  5. Step 5: Solve for x
    x = 20,646,958.71/7,125.79
  6. Step 6: Final answer
    x = 2,897.50

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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.