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Finding the Fourth Proportional to 7,668.64, 11,502.40 and 2,045.88

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Solution

The fourth proportional to 7,668.64, 11,502.40 and 2,045.88 is: 3,068.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,668.64 : 11,502.40 = 2,045.88 : x
  2. Step 2: Convert to fraction form
    7,668.64/11,502.40 = 2,045.88/x
  3. Step 3: Cross multiply
    7,668.64x = 11,502.40 × 2,045.88
  4. Step 4: Simplify right side
    7,668.64x = 23,532,530.11
  5. Step 5: Solve for x
    x = 23,532,530.11/7,668.64
  6. Step 6: Final answer
    x = 3,068.67

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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.