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Finding the Fourth Proportional to 10,564.95, 14,564.60 and 7,203.45

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Solution

The fourth proportional to 10,564.95, 14,564.60 and 7,203.45 is: 9,930.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,564.95 : 14,564.60 = 7,203.45 : x
  2. Step 2: Convert to fraction form
    10,564.95/14,564.60 = 7,203.45/x
  3. Step 3: Cross multiply
    10,564.95x = 14,564.60 × 7,203.45
  4. Step 4: Simplify right side
    10,564.95x = 104,915,367.87
  5. Step 5: Solve for x
    x = 104,915,367.87/10,564.95
  6. Step 6: Final answer
    x = 9,930.51

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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.