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Finding the Fourth Proportional to 10,564.40, 15,852.06 and 7,666.62

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Solution

The fourth proportional to 10,564.40, 15,852.06 and 7,666.62 is: 11,503.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,564.40 : 15,852.06 = 7,666.62 : x
  2. Step 2: Convert to fraction form
    10,564.40/15,852.06 = 7,666.62/x
  3. Step 3: Cross multiply
    10,564.40x = 15,852.06 × 7,666.62
  4. Step 4: Simplify right side
    10,564.40x = 121,531,720.24
  5. Step 5: Solve for x
    x = 121,531,720.24/10,564.40
  6. Step 6: Final answer
    x = 11,503.90

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.