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Finding the Fourth Proportional to 10,566.91, 14,582.78 and 6,090.64

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Solution

The fourth proportional to 10,566.91, 14,582.78 and 6,090.64 is: 8,405.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,566.91 : 14,582.78 = 6,090.64 : x
  2. Step 2: Convert to fraction form
    10,566.91/14,582.78 = 6,090.64/x
  3. Step 3: Cross multiply
    10,566.91x = 14,582.78 × 6,090.64
  4. Step 4: Simplify right side
    10,566.91x = 88,818,535.40
  5. Step 5: Solve for x
    x = 88,818,535.40/10,566.91
  6. Step 6: Final answer
    x = 8,405.35

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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.