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Finding the Fourth Proportional to 11,564.98, 15,955.70 and 6,528.58

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Solution

The fourth proportional to 11,564.98, 15,955.70 and 6,528.58 is: 9,007.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,564.98 : 15,955.70 = 6,528.58 : x
  2. Step 2: Convert to fraction form
    11,564.98/15,955.70 = 6,528.58/x
  3. Step 3: Cross multiply
    11,564.98x = 15,955.70 × 6,528.58
  4. Step 4: Simplify right side
    11,564.98x = 104,168,063.91
  5. Step 5: Solve for x
    x = 104,168,063.91/11,564.98
  6. Step 6: Final answer
    x = 9,007.20

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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.