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Finding the Fourth Proportional to 7,986.65, 11,003.20 and 6,307.45

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Solution

The fourth proportional to 7,986.65, 11,003.20 and 6,307.45 is: 8,689.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,986.65 : 11,003.20 = 6,307.45 : x
  2. Step 2: Convert to fraction form
    7,986.65/11,003.20 = 6,307.45/x
  3. Step 3: Cross multiply
    7,986.65x = 11,003.20 × 6,307.45
  4. Step 4: Simplify right side
    7,986.65x = 69,402,090.56
  5. Step 5: Solve for x
    x = 69,402,090.56/7,986.65
  6. Step 6: Final answer
    x = 8,689.77

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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.