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Finding the Fourth Proportional to 11,602.40, 16,012.04 and 6,564.70

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Solution

The fourth proportional to 11,602.40, 16,012.04 and 6,564.70 is: 9,059.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,602.40 : 16,012.04 = 6,564.70 : x
  2. Step 2: Convert to fraction form
    11,602.40/16,012.04 = 6,564.70/x
  3. Step 3: Cross multiply
    11,602.40x = 16,012.04 × 6,564.70
  4. Step 4: Simplify right side
    11,602.40x = 105,114,166.13
  5. Step 5: Solve for x
    x = 105,114,166.13/11,602.40
  6. Step 6: Final answer
    x = 9,059.70

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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.