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Finding the Fourth Proportional to 8,532, 12,776.63 and 5,402.57

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Solution

The fourth proportional to 8,532, 12,776.63 and 5,402.57 is: 8,090.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,532 : 12,776.63 = 5,402.57 : x
  2. Step 2: Convert to fraction form
    8,532/12,776.63 = 5,402.57/x
  3. Step 3: Cross multiply
    8,532x = 12,776.63 × 5,402.57
  4. Step 4: Simplify right side
    8,532x = 69,026,547.04
  5. Step 5: Solve for x
    x = 69,026,547.04/8,532
  6. Step 6: Final answer
    x = 8,090.31

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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.