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Finding the Fourth Proportional to 8,384.76, 11,567.66 and 5,402.34

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Solution

The fourth proportional to 8,384.76, 11,567.66 and 5,402.34 is: 7,453.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,384.76 : 11,567.66 = 5,402.34 : x
  2. Step 2: Convert to fraction form
    8,384.76/11,567.66 = 5,402.34/x
  3. Step 3: Cross multiply
    8,384.76x = 11,567.66 × 5,402.34
  4. Step 4: Simplify right side
    8,384.76x = 62,492,432.32
  5. Step 5: Solve for x
    x = 62,492,432.32/8,384.76
  6. Step 6: Final answer
    x = 7,453.10

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