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Finding the Fourth Proportional to 11,569.57, 15,966.59 and 6,534

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Solution

The fourth proportional to 11,569.57, 15,966.59 and 6,534 is: 9,017.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,569.57 : 15,966.59 = 6,534 : x
  2. Step 2: Convert to fraction form
    11,569.57/15,966.59 = 6,534/x
  3. Step 3: Cross multiply
    11,569.57x = 15,966.59 × 6,534
  4. Step 4: Simplify right side
    11,569.57x = 104,325,666.39
  5. Step 5: Solve for x
    x = 104,325,666.39/11,569.57
  6. Step 6: Final answer
    x = 9,017.25

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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.