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Finding the Fourth Proportional to 10,566.03, 14,577.54 and 6,089.64

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Solution

The fourth proportional to 10,566.03, 14,577.54 and 6,089.64 is: 8,401.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,566.03 : 14,577.54 = 6,089.64 : x
  2. Step 2: Convert to fraction form
    10,566.03/14,577.54 = 6,089.64/x
  3. Step 3: Cross multiply
    10,566.03x = 14,577.54 × 6,089.64
  4. Step 4: Simplify right side
    10,566.03x = 88,771,970.69
  5. Step 5: Solve for x
    x = 88,771,970.69/10,566.03
  6. Step 6: Final answer
    x = 8,401.64

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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.