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Finding the Fourth Proportional to 11,570.00, 15,966.50 and 6,534.16

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Solution

The fourth proportional to 11,570.00, 15,966.50 and 6,534.16 is: 9,017.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,570.00 : 15,966.50 = 6,534.16 : x
  2. Step 2: Convert to fraction form
    11,570.00/15,966.50 = 6,534.16/x
  3. Step 3: Cross multiply
    11,570.00x = 15,966.50 × 6,534.16
  4. Step 4: Simplify right side
    11,570.00x = 104,327,593.05
  5. Step 5: Solve for x
    x = 104,327,593.05/11,570.00
  6. Step 6: Final answer
    x = 9,017.08

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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.