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Finding the Fourth Proportional to 8,402.24, 11,597.64 and 4,866.32

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Solution

The fourth proportional to 8,402.24, 11,597.64 and 4,866.32 is: 6,717.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,402.24 : 11,597.64 = 4,866.32 : x
  2. Step 2: Convert to fraction form
    8,402.24/11,597.64 = 4,866.32/x
  3. Step 3: Cross multiply
    8,402.24x = 11,597.64 × 4,866.32
  4. Step 4: Simplify right side
    8,402.24x = 56,437,827.48
  5. Step 5: Solve for x
    x = 56,437,827.48/8,402.24
  6. Step 6: Final answer
    x = 6,717.00

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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.