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Finding the Fourth Proportional to 6,534.04, 9,010.16 and 6,157.40

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Solution

The fourth proportional to 6,534.04, 9,010.16 and 6,157.40 is: 8,490.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,534.04 : 9,010.16 = 6,157.40 : x
  2. Step 2: Convert to fraction form
    6,534.04/9,010.16 = 6,157.40/x
  3. Step 3: Cross multiply
    6,534.04x = 9,010.16 × 6,157.40
  4. Step 4: Simplify right side
    6,534.04x = 55,479,159.18
  5. Step 5: Solve for x
    x = 55,479,159.18/6,534.04
  6. Step 6: Final answer
    x = 8,490.79

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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.