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Finding the Fourth Proportional to 7,017.76, 10,526.65 and 4,682.33

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Solution

The fourth proportional to 7,017.76, 10,526.65 and 4,682.33 is: 7,023.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,017.76 : 10,526.65 = 4,682.33 : x
  2. Step 2: Convert to fraction form
    7,017.76/10,526.65 = 4,682.33/x
  3. Step 3: Cross multiply
    7,017.76x = 10,526.65 × 4,682.33
  4. Step 4: Simplify right side
    7,017.76x = 49,289,184.76
  5. Step 5: Solve for x
    x = 49,289,184.76/7,017.76
  6. Step 6: Final answer
    x = 7,023.50

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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.