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Finding the Fourth Proportional to 10,002.18, 15,003.63 and 7,666.45

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Solution

The fourth proportional to 10,002.18, 15,003.63 and 7,666.45 is: 11,499.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,002.18 : 15,003.63 = 7,666.45 : x
  2. Step 2: Convert to fraction form
    10,002.18/15,003.63 = 7,666.45/x
  3. Step 3: Cross multiply
    10,002.18x = 15,003.63 × 7,666.45
  4. Step 4: Simplify right side
    10,002.18x = 115,024,541.70
  5. Step 5: Solve for x
    x = 115,024,541.70/10,002.18
  6. Step 6: Final answer
    x = 11,499.94

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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.