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Finding the Fourth Proportional to 7,564.28, 11,334.13 and 4,636.40

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Solution

The fourth proportional to 7,564.28, 11,334.13 and 4,636.40 is: 6,947.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,564.28 : 11,334.13 = 4,636.40 : x
  2. Step 2: Convert to fraction form
    7,564.28/11,334.13 = 4,636.40/x
  3. Step 3: Cross multiply
    7,564.28x = 11,334.13 × 4,636.40
  4. Step 4: Simplify right side
    7,564.28x = 52,549,492.07
  5. Step 5: Solve for x
    x = 52,549,492.07/7,564.28
  6. Step 6: Final answer
    x = 6,947.06

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.