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Finding the Fourth Proportional to 8,566.40, 11,828.88 and 7,157.60

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Solution

The fourth proportional to 8,566.40, 11,828.88 and 7,157.60 is: 9,883.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,566.40 : 11,828.88 = 7,157.60 : x
  2. Step 2: Convert to fraction form
    8,566.40/11,828.88 = 7,157.60/x
  3. Step 3: Cross multiply
    8,566.40x = 11,828.88 × 7,157.60
  4. Step 4: Simplify right side
    8,566.40x = 84,666,332.34
  5. Step 5: Solve for x
    x = 84,666,332.34/8,566.40
  6. Step 6: Final answer
    x = 9,883.54

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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.