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Finding the Fourth Proportional to 11,569.04, 15,964.20 and 6,602

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Solution

The fourth proportional to 11,569.04, 15,964.20 and 6,602 is: 9,110.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,569.04 : 15,964.20 = 6,602 : x
  2. Step 2: Convert to fraction form
    11,569.04/15,964.20 = 6,602/x
  3. Step 3: Cross multiply
    11,569.04x = 15,964.20 × 6,602
  4. Step 4: Simplify right side
    11,569.04x = 105,395,648.40
  5. Step 5: Solve for x
    x = 105,395,648.40/11,569.04
  6. Step 6: Final answer
    x = 9,110.15

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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.