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Finding the Fourth Proportional to 11,464.39, 15,827.76 and 7,492.15

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Solution

The fourth proportional to 11,464.39, 15,827.76 and 7,492.15 is: 10,343.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,464.39 : 15,827.76 = 7,492.15 : x
  2. Step 2: Convert to fraction form
    11,464.39/15,827.76 = 7,492.15/x
  3. Step 3: Cross multiply
    11,464.39x = 15,827.76 × 7,492.15
  4. Step 4: Simplify right side
    11,464.39x = 118,583,835.48
  5. Step 5: Solve for x
    x = 118,583,835.48/11,464.39
  6. Step 6: Final answer
    x = 10,343.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.